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Finding the Fourth Proportional to 582.70, 875.10 and 556.75

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Solution

The fourth proportional to 582.70, 875.10 and 556.75 is: 836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.70 : 875.10 = 556.75 : x
  2. Step 2: Convert to fraction form
    582.70/875.10 = 556.75/x
  3. Step 3: Cross multiply
    582.70x = 875.10 × 556.75
  4. Step 4: Simplify right side
    582.70x = 487,211.93
  5. Step 5: Solve for x
    x = 487,211.93/582.70
  6. Step 6: Final answer
    x = 836.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.