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Finding the Fourth Proportional to 720.24, 1,078.14 and 473.16

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Solution

The fourth proportional to 720.24, 1,078.14 and 473.16 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.24 : 1,078.14 = 473.16 : x
  2. Step 2: Convert to fraction form
    720.24/1,078.14 = 473.16/x
  3. Step 3: Cross multiply
    720.24x = 1,078.14 × 473.16
  4. Step 4: Simplify right side
    720.24x = 510,132.72
  5. Step 5: Solve for x
    x = 510,132.72/720.24
  6. Step 6: Final answer
    x = 708.28

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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.