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Finding the Fourth Proportional to 610.17, 841.80 and 386.12

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Solution

The fourth proportional to 610.17, 841.80 and 386.12 is: 532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.17 : 841.80 = 386.12 : x
  2. Step 2: Convert to fraction form
    610.17/841.80 = 386.12/x
  3. Step 3: Cross multiply
    610.17x = 841.80 × 386.12
  4. Step 4: Simplify right side
    610.17x = 325,031.61
  5. Step 5: Solve for x
    x = 325,031.61/610.17
  6. Step 6: Final answer
    x = 532.69

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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.