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Finding the Fourth Proportional to 545.92, 753.68 and 421.34

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Solution

The fourth proportional to 545.92, 753.68 and 421.34 is: 581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.92 : 753.68 = 421.34 : x
  2. Step 2: Convert to fraction form
    545.92/753.68 = 421.34/x
  3. Step 3: Cross multiply
    545.92x = 753.68 × 421.34
  4. Step 4: Simplify right side
    545.92x = 317,552.82
  5. Step 5: Solve for x
    x = 317,552.82/545.92
  6. Step 6: Final answer
    x = 581.69

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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.