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Finding the Fourth Proportional to 586.62, 810.14 and 487.40

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Solution

The fourth proportional to 586.62, 810.14 and 487.40 is: 673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 810.14 = 487.40 : x
  2. Step 2: Convert to fraction form
    586.62/810.14 = 487.40/x
  3. Step 3: Cross multiply
    586.62x = 810.14 × 487.40
  4. Step 4: Simplify right side
    586.62x = 394,855.75
  5. Step 5: Solve for x
    x = 394,855.75/586.62
  6. Step 6: Final answer
    x = 673.10

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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.