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Finding the Fourth Proportional to 545.73, 753.10 and 297.04

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Solution

The fourth proportional to 545.73, 753.10 and 297.04 is: 409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.73 : 753.10 = 297.04 : x
  2. Step 2: Convert to fraction form
    545.73/753.10 = 297.04/x
  3. Step 3: Cross multiply
    545.73x = 753.10 × 297.04
  4. Step 4: Simplify right side
    545.73x = 223,703.82
  5. Step 5: Solve for x
    x = 223,703.82/545.73
  6. Step 6: Final answer
    x = 409.92

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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.