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Finding the Fourth Proportional to 658.02, 907.98 and 392.40

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Solution

The fourth proportional to 658.02, 907.98 and 392.40 is: 541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.02 : 907.98 = 392.40 : x
  2. Step 2: Convert to fraction form
    658.02/907.98 = 392.40/x
  3. Step 3: Cross multiply
    658.02x = 907.98 × 392.40
  4. Step 4: Simplify right side
    658.02x = 356,291.35
  5. Step 5: Solve for x
    x = 356,291.35/658.02
  6. Step 6: Final answer
    x = 541.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.