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Finding the Fourth Proportional to 527.25, 787.35 and 454.35

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Solution

The fourth proportional to 527.25, 787.35 and 454.35 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 787.35 = 454.35 : x
  2. Step 2: Convert to fraction form
    527.25/787.35 = 454.35/x
  3. Step 3: Cross multiply
    527.25x = 787.35 × 454.35
  4. Step 4: Simplify right side
    527.25x = 357,732.47
  5. Step 5: Solve for x
    x = 357,732.47/527.25
  6. Step 6: Final answer
    x = 678.49

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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.