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Finding the Fourth Proportional to 715.31, 987.20 and 435.62

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Solution

The fourth proportional to 715.31, 987.20 and 435.62 is: 601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.31 : 987.20 = 435.62 : x
  2. Step 2: Convert to fraction form
    715.31/987.20 = 435.62/x
  3. Step 3: Cross multiply
    715.31x = 987.20 × 435.62
  4. Step 4: Simplify right side
    715.31x = 430,036.95
  5. Step 5: Solve for x
    x = 430,036.95/715.31
  6. Step 6: Final answer
    x = 601.19

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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.