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Finding the Fourth Proportional to 527.36, 787.46 and 472.16

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Solution

The fourth proportional to 527.36, 787.46 and 472.16 is: 705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 787.46 = 472.16 : x
  2. Step 2: Convert to fraction form
    527.36/787.46 = 472.16/x
  3. Step 3: Cross multiply
    527.36x = 787.46 × 472.16
  4. Step 4: Simplify right side
    527.36x = 371,807.11
  5. Step 5: Solve for x
    x = 371,807.11/527.36
  6. Step 6: Final answer
    x = 705.03

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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.