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Finding the Fourth Proportional to 545.90, 753.12 and 346.72

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Solution

The fourth proportional to 545.90, 753.12 and 346.72 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 753.12 = 346.72 : x
  2. Step 2: Convert to fraction form
    545.90/753.12 = 346.72/x
  3. Step 3: Cross multiply
    545.90x = 753.12 × 346.72
  4. Step 4: Simplify right side
    545.90x = 261,121.77
  5. Step 5: Solve for x
    x = 261,121.77/545.90
  6. Step 6: Final answer
    x = 478.33

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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.