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Finding the Fourth Proportional to 1,123.02, 1,549.11 and 657.18

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Solution

The fourth proportional to 1,123.02, 1,549.11 and 657.18 is: 906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.02 : 1,549.11 = 657.18 : x
  2. Step 2: Convert to fraction form
    1,123.02/1,549.11 = 657.18/x
  3. Step 3: Cross multiply
    1,123.02x = 1,549.11 × 657.18
  4. Step 4: Simplify right side
    1,123.02x = 1,018,044.11
  5. Step 5: Solve for x
    x = 1,018,044.11/1,123.02
  6. Step 6: Final answer
    x = 906.52

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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.