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Finding the Fourth Proportional to 610.14, 841.70 and 586.56

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Solution

The fourth proportional to 610.14, 841.70 and 586.56 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 841.70 = 586.56 : x
  2. Step 2: Convert to fraction form
    610.14/841.70 = 586.56/x
  3. Step 3: Cross multiply
    610.14x = 841.70 × 586.56
  4. Step 4: Simplify right side
    610.14x = 493,704.62
  5. Step 5: Solve for x
    x = 493,704.62/610.14
  6. Step 6: Final answer
    x = 809.17

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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.