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Finding the Fourth Proportional to 476.72, 710.74 and 468.08

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Solution

The fourth proportional to 476.72, 710.74 and 468.08 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 710.74 = 468.08 : x
  2. Step 2: Convert to fraction form
    476.72/710.74 = 468.08/x
  3. Step 3: Cross multiply
    476.72x = 710.74 × 468.08
  4. Step 4: Simplify right side
    476.72x = 332,683.18
  5. Step 5: Solve for x
    x = 332,683.18/476.72
  6. Step 6: Final answer
    x = 697.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.