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Finding the Fourth Proportional to 672.61, 1,008.62 and 256.07

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Solution

The fourth proportional to 672.61, 1,008.62 and 256.07 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.61 : 1,008.62 = 256.07 : x
  2. Step 2: Convert to fraction form
    672.61/1,008.62 = 256.07/x
  3. Step 3: Cross multiply
    672.61x = 1,008.62 × 256.07
  4. Step 4: Simplify right side
    672.61x = 258,277.32
  5. Step 5: Solve for x
    x = 258,277.32/672.61
  6. Step 6: Final answer
    x = 383.99

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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.