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Finding the Fourth Proportional to 586.32, 874.32 and 545.28

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Solution

The fourth proportional to 586.32, 874.32 and 545.28 is: 813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 874.32 = 545.28 : x
  2. Step 2: Convert to fraction form
    586.32/874.32 = 545.28/x
  3. Step 3: Cross multiply
    586.32x = 874.32 × 545.28
  4. Step 4: Simplify right side
    586.32x = 476,749.21
  5. Step 5: Solve for x
    x = 476,749.21/586.32
  6. Step 6: Final answer
    x = 813.12

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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.