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Finding the Fourth Proportional to 940.90, 1,298.31 and 521.15

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Solution

The fourth proportional to 940.90, 1,298.31 and 521.15 is: 719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.90 : 1,298.31 = 521.15 : x
  2. Step 2: Convert to fraction form
    940.90/1,298.31 = 521.15/x
  3. Step 3: Cross multiply
    940.90x = 1,298.31 × 521.15
  4. Step 4: Simplify right side
    940.90x = 676,614.59
  5. Step 5: Solve for x
    x = 676,614.59/940.90
  6. Step 6: Final answer
    x = 719.11

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.