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Finding the Fourth Proportional to 720.51, 1,080.32 and 476.61

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Solution

The fourth proportional to 720.51, 1,080.32 and 476.61 is: 714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.51 : 1,080.32 = 476.61 : x
  2. Step 2: Convert to fraction form
    720.51/1,080.32 = 476.61/x
  3. Step 3: Cross multiply
    720.51x = 1,080.32 × 476.61
  4. Step 4: Simplify right side
    720.51x = 514,888.93
  5. Step 5: Solve for x
    x = 514,888.93/720.51
  6. Step 6: Final answer
    x = 714.62

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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.