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Finding the Fourth Proportional to 476.98, 711.58 and 454.30

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Solution

The fourth proportional to 476.98, 711.58 and 454.30 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.98 : 711.58 = 454.30 : x
  2. Step 2: Convert to fraction form
    476.98/711.58 = 454.30/x
  3. Step 3: Cross multiply
    476.98x = 711.58 × 454.30
  4. Step 4: Simplify right side
    476.98x = 323,270.79
  5. Step 5: Solve for x
    x = 323,270.79/476.98
  6. Step 6: Final answer
    x = 677.74

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Find fourth proportional to 238.49, 355.79 and 227.15
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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.