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Finding the Fourth Proportional to 585.60, 874.08 and 549.12

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Solution

The fourth proportional to 585.60, 874.08 and 549.12 is: 819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 874.08 = 549.12 : x
  2. Step 2: Convert to fraction form
    585.60/874.08 = 549.12/x
  3. Step 3: Cross multiply
    585.60x = 874.08 × 549.12
  4. Step 4: Simplify right side
    585.60x = 479,974.81
  5. Step 5: Solve for x
    x = 479,974.81/585.60
  6. Step 6: Final answer
    x = 819.63

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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.