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Finding the Fourth Proportional to 672.47, 1,008.71 and 210.23

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Solution

The fourth proportional to 672.47, 1,008.71 and 210.23 is: 315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.47 : 1,008.71 = 210.23 : x
  2. Step 2: Convert to fraction form
    672.47/1,008.71 = 210.23/x
  3. Step 3: Cross multiply
    672.47x = 1,008.71 × 210.23
  4. Step 4: Simplify right side
    672.47x = 212,055.01
  5. Step 5: Solve for x
    x = 212,055.01/672.47
  6. Step 6: Final answer
    x = 315.34

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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.