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Finding the Fourth Proportional to 672.65, 1,006.93 and 534.60

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Solution

The fourth proportional to 672.65, 1,006.93 and 534.60 is: 800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.65 : 1,006.93 = 534.60 : x
  2. Step 2: Convert to fraction form
    672.65/1,006.93 = 534.60/x
  3. Step 3: Cross multiply
    672.65x = 1,006.93 × 534.60
  4. Step 4: Simplify right side
    672.65x = 538,305.45
  5. Step 5: Solve for x
    x = 538,305.45/672.65
  6. Step 6: Final answer
    x = 800.27

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