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Finding the Fourth Proportional to 658.17, 907.62 and 510.75

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Solution

The fourth proportional to 658.17, 907.62 and 510.75 is: 704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.17 : 907.62 = 510.75 : x
  2. Step 2: Convert to fraction form
    658.17/907.62 = 510.75/x
  3. Step 3: Cross multiply
    658.17x = 907.62 × 510.75
  4. Step 4: Simplify right side
    658.17x = 463,566.92
  5. Step 5: Solve for x
    x = 463,566.92/658.17
  6. Step 6: Final answer
    x = 704.33

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1.5x scale

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.