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Finding the Fourth Proportional to 720.54, 1,078.98 and 476.70

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Solution

The fourth proportional to 720.54, 1,078.98 and 476.70 is: 713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 1,078.98 = 476.70 : x
  2. Step 2: Convert to fraction form
    720.54/1,078.98 = 476.70/x
  3. Step 3: Cross multiply
    720.54x = 1,078.98 × 476.70
  4. Step 4: Simplify right side
    720.54x = 514,349.77
  5. Step 5: Solve for x
    x = 514,349.77/720.54
  6. Step 6: Final answer
    x = 713.84

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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.