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Finding the Fourth Proportional to 586.78, 875.84 and 517.60

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Solution

The fourth proportional to 586.78, 875.84 and 517.60 is: 772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.78 : 875.84 = 517.60 : x
  2. Step 2: Convert to fraction form
    586.78/875.84 = 517.60/x
  3. Step 3: Cross multiply
    586.78x = 875.84 × 517.60
  4. Step 4: Simplify right side
    586.78x = 453,334.78
  5. Step 5: Solve for x
    x = 453,334.78/586.78
  6. Step 6: Final answer
    x = 772.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.