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Finding the Fourth Proportional to 545.64, 812.28 and 542.40

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Solution

The fourth proportional to 545.64, 812.28 and 542.40 is: 807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.64 : 812.28 = 542.40 : x
  2. Step 2: Convert to fraction form
    545.64/812.28 = 542.40/x
  3. Step 3: Cross multiply
    545.64x = 812.28 × 542.40
  4. Step 4: Simplify right side
    545.64x = 440,580.67
  5. Step 5: Solve for x
    x = 440,580.67/545.64
  6. Step 6: Final answer
    x = 807.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.