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Finding the Fourth Proportional to 500.42, 749.10 and 448.38

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Solution

The fourth proportional to 500.42, 749.10 and 448.38 is: 671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 749.10 = 448.38 : x
  2. Step 2: Convert to fraction form
    500.42/749.10 = 448.38/x
  3. Step 3: Cross multiply
    500.42x = 749.10 × 448.38
  4. Step 4: Simplify right side
    500.42x = 335,881.46
  5. Step 5: Solve for x
    x = 335,881.46/500.42
  6. Step 6: Final answer
    x = 671.20

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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.