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Finding the Fourth Proportional to 672.22, 1,009.06 and 565.18

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Solution

The fourth proportional to 672.22, 1,009.06 and 565.18 is: 848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.22 : 1,009.06 = 565.18 : x
  2. Step 2: Convert to fraction form
    672.22/1,009.06 = 565.18/x
  3. Step 3: Cross multiply
    672.22x = 1,009.06 × 565.18
  4. Step 4: Simplify right side
    672.22x = 570,300.53
  5. Step 5: Solve for x
    x = 570,300.53/672.22
  6. Step 6: Final answer
    x = 848.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.