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Finding the Fourth Proportional to 746.87, 1,030.45 and 432.10

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Solution

The fourth proportional to 746.87, 1,030.45 and 432.10 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.87 : 1,030.45 = 432.10 : x
  2. Step 2: Convert to fraction form
    746.87/1,030.45 = 432.10/x
  3. Step 3: Cross multiply
    746.87x = 1,030.45 × 432.10
  4. Step 4: Simplify right side
    746.87x = 445,257.45
  5. Step 5: Solve for x
    x = 445,257.45/746.87
  6. Step 6: Final answer
    x = 596.16

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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.