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Finding the Fourth Proportional to 1,123.08, 1,549.20 and 657

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Solution

The fourth proportional to 1,123.08, 1,549.20 and 657 is: 906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.08 : 1,549.20 = 657 : x
  2. Step 2: Convert to fraction form
    1,123.08/1,549.20 = 657/x
  3. Step 3: Cross multiply
    1,123.08x = 1,549.20 × 657
  4. Step 4: Simplify right side
    1,123.08x = 1,017,824.40
  5. Step 5: Solve for x
    x = 1,017,824.40/1,123.08
  6. Step 6: Final answer
    x = 906.28

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1.5x scale

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.