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Finding the Fourth Proportional to 712, 982.65 and 545.86

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Solution

The fourth proportional to 712, 982.65 and 545.86 is: 753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 982.65 = 545.86 : x
  2. Step 2: Convert to fraction form
    712/982.65 = 545.86/x
  3. Step 3: Cross multiply
    712x = 982.65 × 545.86
  4. Step 4: Simplify right side
    712x = 536,389.33
  5. Step 5: Solve for x
    x = 536,389.33/712
  6. Step 6: Final answer
    x = 753.36

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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.