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Finding the Fourth Proportional to 938.96, 1,408.64 and 476.96

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Solution

The fourth proportional to 938.96, 1,408.64 and 476.96 is: 715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.96 : 1,408.64 = 476.96 : x
  2. Step 2: Convert to fraction form
    938.96/1,408.64 = 476.96/x
  3. Step 3: Cross multiply
    938.96x = 1,408.64 × 476.96
  4. Step 4: Simplify right side
    938.96x = 671,864.93
  5. Step 5: Solve for x
    x = 671,864.93/938.96
  6. Step 6: Final answer
    x = 715.54

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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.