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Finding the Fourth Proportional to 720.83, 1,078.80 and 432.47

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Solution

The fourth proportional to 720.83, 1,078.80 and 432.47 is: 647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.83 : 1,078.80 = 432.47 : x
  2. Step 2: Convert to fraction form
    720.83/1,078.80 = 432.47/x
  3. Step 3: Cross multiply
    720.83x = 1,078.80 × 432.47
  4. Step 4: Simplify right side
    720.83x = 466,543.24
  5. Step 5: Solve for x
    x = 466,543.24/720.83
  6. Step 6: Final answer
    x = 647.24

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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.