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Finding the Fourth Proportional to 684.95, 944.23 and 545.12

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Solution

The fourth proportional to 684.95, 944.23 and 545.12 is: 751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 944.23 = 545.12 : x
  2. Step 2: Convert to fraction form
    684.95/944.23 = 545.12/x
  3. Step 3: Cross multiply
    684.95x = 944.23 × 545.12
  4. Step 4: Simplify right side
    684.95x = 514,718.66
  5. Step 5: Solve for x
    x = 514,718.66/684.95
  6. Step 6: Final answer
    x = 751.47

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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.