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Finding the Fourth Proportional to 975.18, 1,344.51 and 642.99

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Solution

The fourth proportional to 975.18, 1,344.51 and 642.99 is: 886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.18 : 1,344.51 = 642.99 : x
  2. Step 2: Convert to fraction form
    975.18/1,344.51 = 642.99/x
  3. Step 3: Cross multiply
    975.18x = 1,344.51 × 642.99
  4. Step 4: Simplify right side
    975.18x = 864,506.48
  5. Step 5: Solve for x
    x = 864,506.48/975.18
  6. Step 6: Final answer
    x = 886.51

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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.