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Finding the Fourth Proportional to 504.20, 756.30 and 286.22

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Solution

The fourth proportional to 504.20, 756.30 and 286.22 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 756.30 = 286.22 : x
  2. Step 2: Convert to fraction form
    504.20/756.30 = 286.22/x
  3. Step 3: Cross multiply
    504.20x = 756.30 × 286.22
  4. Step 4: Simplify right side
    504.20x = 216,468.19
  5. Step 5: Solve for x
    x = 216,468.19/504.20
  6. Step 6: Final answer
    x = 429.33

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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.