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Finding the Fourth Proportional to 716.01, 1,073.07 and 407.40

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Solution

The fourth proportional to 716.01, 1,073.07 and 407.40 is: 610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.01 : 1,073.07 = 407.40 : x
  2. Step 2: Convert to fraction form
    716.01/1,073.07 = 407.40/x
  3. Step 3: Cross multiply
    716.01x = 1,073.07 × 407.40
  4. Step 4: Simplify right side
    716.01x = 437,174.89
  5. Step 5: Solve for x
    x = 437,174.89/716.01
  6. Step 6: Final answer
    x = 610.57

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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.