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Finding the Fourth Proportional to 672.93, 1,008.47 and 348.53

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Solution

The fourth proportional to 672.93, 1,008.47 and 348.53 is: 522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.93 : 1,008.47 = 348.53 : x
  2. Step 2: Convert to fraction form
    672.93/1,008.47 = 348.53/x
  3. Step 3: Cross multiply
    672.93x = 1,008.47 × 348.53
  4. Step 4: Simplify right side
    672.93x = 351,477.88
  5. Step 5: Solve for x
    x = 351,477.88/672.93
  6. Step 6: Final answer
    x = 522.31

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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.