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Finding the Fourth Proportional to 730.96, 1,098.64 and 476.08

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Solution

The fourth proportional to 730.96, 1,098.64 and 476.08 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.96 : 1,098.64 = 476.08 : x
  2. Step 2: Convert to fraction form
    730.96/1,098.64 = 476.08/x
  3. Step 3: Cross multiply
    730.96x = 1,098.64 × 476.08
  4. Step 4: Simplify right side
    730.96x = 523,040.53
  5. Step 5: Solve for x
    x = 523,040.53/730.96
  6. Step 6: Final answer
    x = 715.55

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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.