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Finding the Fourth Proportional to 973.63, 1,343.82 and 642.11

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Solution

The fourth proportional to 973.63, 1,343.82 and 642.11 is: 886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.63 : 1,343.82 = 642.11 : x
  2. Step 2: Convert to fraction form
    973.63/1,343.82 = 642.11/x
  3. Step 3: Cross multiply
    973.63x = 1,343.82 × 642.11
  4. Step 4: Simplify right side
    973.63x = 862,875.95
  5. Step 5: Solve for x
    x = 862,875.95/973.63
  6. Step 6: Final answer
    x = 886.25

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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.