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Finding the Fourth Proportional to 541.85, 747.68 and 345.38

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Solution

The fourth proportional to 541.85, 747.68 and 345.38 is: 476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.85 : 747.68 = 345.38 : x
  2. Step 2: Convert to fraction form
    541.85/747.68 = 345.38/x
  3. Step 3: Cross multiply
    541.85x = 747.68 × 345.38
  4. Step 4: Simplify right side
    541.85x = 258,228.25
  5. Step 5: Solve for x
    x = 258,228.25/541.85
  6. Step 6: Final answer
    x = 476.57

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Double scale
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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.