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Finding the Fourth Proportional to 545.02, 751.61 and 420.48

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Solution

The fourth proportional to 545.02, 751.61 and 420.48 is: 579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 751.61 = 420.48 : x
  2. Step 2: Convert to fraction form
    545.02/751.61 = 420.48/x
  3. Step 3: Cross multiply
    545.02x = 751.61 × 420.48
  4. Step 4: Simplify right side
    545.02x = 316,036.97
  5. Step 5: Solve for x
    x = 316,036.97/545.02
  6. Step 6: Final answer
    x = 579.87

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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.