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Finding the Fourth Proportional to 701.42, 968.73 and 545.93

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Solution

The fourth proportional to 701.42, 968.73 and 545.93 is: 753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.42 : 968.73 = 545.93 : x
  2. Step 2: Convert to fraction form
    701.42/968.73 = 545.93/x
  3. Step 3: Cross multiply
    701.42x = 968.73 × 545.93
  4. Step 4: Simplify right side
    701.42x = 528,858.77
  5. Step 5: Solve for x
    x = 528,858.77/701.42
  6. Step 6: Final answer
    x = 753.98

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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.