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Finding the Fourth Proportional to 545.67, 753.02 and 297

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Solution

The fourth proportional to 545.67, 753.02 and 297 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.67 : 753.02 = 297 : x
  2. Step 2: Convert to fraction form
    545.67/753.02 = 297/x
  3. Step 3: Cross multiply
    545.67x = 753.02 × 297
  4. Step 4: Simplify right side
    545.67x = 223,646.78
  5. Step 5: Solve for x
    x = 223,646.78/545.67
  6. Step 6: Final answer
    x = 409.85

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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.