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Finding the Fourth Proportional to 541.74, 747.90 and 417.74

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Solution

The fourth proportional to 541.74, 747.90 and 417.74 is: 576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.74 : 747.90 = 417.74 : x
  2. Step 2: Convert to fraction form
    541.74/747.90 = 417.74/x
  3. Step 3: Cross multiply
    541.74x = 747.90 × 417.74
  4. Step 4: Simplify right side
    541.74x = 312,427.75
  5. Step 5: Solve for x
    x = 312,427.75/541.74
  6. Step 6: Final answer
    x = 576.71

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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.