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Finding the Fourth Proportional to 545.87, 753.28 and 297.19

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Solution

The fourth proportional to 545.87, 753.28 and 297.19 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.87 : 753.28 = 297.19 : x
  2. Step 2: Convert to fraction form
    545.87/753.28 = 297.19/x
  3. Step 3: Cross multiply
    545.87x = 753.28 × 297.19
  4. Step 4: Simplify right side
    545.87x = 223,867.28
  5. Step 5: Solve for x
    x = 223,867.28/545.87
  6. Step 6: Final answer
    x = 410.11

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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.