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Finding the Fourth Proportional to 645.19, 891.10 and 545.93

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Solution

The fourth proportional to 645.19, 891.10 and 545.93 is: 754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 891.10 = 545.93 : x
  2. Step 2: Convert to fraction form
    645.19/891.10 = 545.93/x
  3. Step 3: Cross multiply
    645.19x = 891.10 × 545.93
  4. Step 4: Simplify right side
    645.19x = 486,478.22
  5. Step 5: Solve for x
    x = 486,478.22/645.19
  6. Step 6: Final answer
    x = 754.01

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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.