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Finding the Fourth Proportional to 585.40, 875.70 and 527.80

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Solution

The fourth proportional to 585.40, 875.70 and 527.80 is: 789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 875.70 = 527.80 : x
  2. Step 2: Convert to fraction form
    585.40/875.70 = 527.80/x
  3. Step 3: Cross multiply
    585.40x = 875.70 × 527.80
  4. Step 4: Simplify right side
    585.40x = 462,194.46
  5. Step 5: Solve for x
    x = 462,194.46/585.40
  6. Step 6: Final answer
    x = 789.54

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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.