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Finding the Fourth Proportional to 614.77, 917.40 and 549.07

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Solution

The fourth proportional to 614.77, 917.40 and 549.07 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.77 : 917.40 = 549.07 : x
  2. Step 2: Convert to fraction form
    614.77/917.40 = 549.07/x
  3. Step 3: Cross multiply
    614.77x = 917.40 × 549.07
  4. Step 4: Simplify right side
    614.77x = 503,714.52
  5. Step 5: Solve for x
    x = 503,714.52/614.77
  6. Step 6: Final answer
    x = 819.36

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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.