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Finding the Fourth Proportional to 586.22, 807.78 and 545.22

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Solution

The fourth proportional to 586.22, 807.78 and 545.22 is: 751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.22 : 807.78 = 545.22 : x
  2. Step 2: Convert to fraction form
    586.22/807.78 = 545.22/x
  3. Step 3: Cross multiply
    586.22x = 807.78 × 545.22
  4. Step 4: Simplify right side
    586.22x = 440,417.81
  5. Step 5: Solve for x
    x = 440,417.81/586.22
  6. Step 6: Final answer
    x = 751.28

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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.