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Finding the Fourth Proportional to 610.17, 840.15 and 511.71

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Solution

The fourth proportional to 610.17, 840.15 and 511.71 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.17 : 840.15 = 511.71 : x
  2. Step 2: Convert to fraction form
    610.17/840.15 = 511.71/x
  3. Step 3: Cross multiply
    610.17x = 840.15 × 511.71
  4. Step 4: Simplify right side
    610.17x = 429,913.16
  5. Step 5: Solve for x
    x = 429,913.16/610.17
  6. Step 6: Final answer
    x = 704.58

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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.