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Finding the Fourth Proportional to 1,215.79, 1,823.67 and 350.10

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Solution

The fourth proportional to 1,215.79, 1,823.67 and 350.10 is: 525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.79 : 1,823.67 = 350.10 : x
  2. Step 2: Convert to fraction form
    1,215.79/1,823.67 = 350.10/x
  3. Step 3: Cross multiply
    1,215.79x = 1,823.67 × 350.10
  4. Step 4: Simplify right side
    1,215.79x = 638,466.87
  5. Step 5: Solve for x
    x = 638,466.87/1,215.79
  6. Step 6: Final answer
    x = 525.15

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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.