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Finding the Fourth Proportional to 632.05, 872.30 and 370.07

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Solution

The fourth proportional to 632.05, 872.30 and 370.07 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.05 : 872.30 = 370.07 : x
  2. Step 2: Convert to fraction form
    632.05/872.30 = 370.07/x
  3. Step 3: Cross multiply
    632.05x = 872.30 × 370.07
  4. Step 4: Simplify right side
    632.05x = 322,807.70
  5. Step 5: Solve for x
    x = 322,807.70/632.05
  6. Step 6: Final answer
    x = 510.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.