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Finding the Fourth Proportional to 610.61, 841.79 and 591.46

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Solution

The fourth proportional to 610.61, 841.79 and 591.46 is: 815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.61 : 841.79 = 591.46 : x
  2. Step 2: Convert to fraction form
    610.61/841.79 = 591.46/x
  3. Step 3: Cross multiply
    610.61x = 841.79 × 591.46
  4. Step 4: Simplify right side
    610.61x = 497,884.49
  5. Step 5: Solve for x
    x = 497,884.49/610.61
  6. Step 6: Final answer
    x = 815.40

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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.