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Finding the Fourth Proportional to 672.95, 1,009.62 and 210.77

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Solution

The fourth proportional to 672.95, 1,009.62 and 210.77 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.95 : 1,009.62 = 210.77 : x
  2. Step 2: Convert to fraction form
    672.95/1,009.62 = 210.77/x
  3. Step 3: Cross multiply
    672.95x = 1,009.62 × 210.77
  4. Step 4: Simplify right side
    672.95x = 212,797.61
  5. Step 5: Solve for x
    x = 212,797.61/672.95
  6. Step 6: Final answer
    x = 316.22

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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.