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Finding the Fourth Proportional to 814.20, 1,219.68 and 525.03

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Solution

The fourth proportional to 814.20, 1,219.68 and 525.03 is: 786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.20 : 1,219.68 = 525.03 : x
  2. Step 2: Convert to fraction form
    814.20/1,219.68 = 525.03/x
  3. Step 3: Cross multiply
    814.20x = 1,219.68 × 525.03
  4. Step 4: Simplify right side
    814.20x = 640,368.59
  5. Step 5: Solve for x
    x = 640,368.59/814.20
  6. Step 6: Final answer
    x = 786.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.