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Finding the Fourth Proportional to 749.03, 1,123.16 and 440.98

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Solution

The fourth proportional to 749.03, 1,123.16 and 440.98 is: 661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,123.16 = 440.98 : x
  2. Step 2: Convert to fraction form
    749.03/1,123.16 = 440.98/x
  3. Step 3: Cross multiply
    749.03x = 1,123.16 × 440.98
  4. Step 4: Simplify right side
    749.03x = 495,291.10
  5. Step 5: Solve for x
    x = 495,291.10/749.03
  6. Step 6: Final answer
    x = 661.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.