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Finding the Fourth Proportional to 652.46, 899.63 and 527.74

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Solution

The fourth proportional to 652.46, 899.63 and 527.74 is: 727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.46 : 899.63 = 527.74 : x
  2. Step 2: Convert to fraction form
    652.46/899.63 = 527.74/x
  3. Step 3: Cross multiply
    652.46x = 899.63 × 527.74
  4. Step 4: Simplify right side
    652.46x = 474,763.60
  5. Step 5: Solve for x
    x = 474,763.60/652.46
  6. Step 6: Final answer
    x = 727.65

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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.