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Finding the Fourth Proportional to 545.72, 753.08 and 297.05

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Solution

The fourth proportional to 545.72, 753.08 and 297.05 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 753.08 = 297.05 : x
  2. Step 2: Convert to fraction form
    545.72/753.08 = 297.05/x
  3. Step 3: Cross multiply
    545.72x = 753.08 × 297.05
  4. Step 4: Simplify right side
    545.72x = 223,697.16
  5. Step 5: Solve for x
    x = 223,697.16/545.72
  6. Step 6: Final answer
    x = 409.91

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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.