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Finding the Fourth Proportional to 973.68, 1,343.04 and 642.08

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Solution

The fourth proportional to 973.68, 1,343.04 and 642.08 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,343.04 = 642.08 : x
  2. Step 2: Convert to fraction form
    973.68/1,343.04 = 642.08/x
  3. Step 3: Cross multiply
    973.68x = 1,343.04 × 642.08
  4. Step 4: Simplify right side
    973.68x = 862,339.12
  5. Step 5: Solve for x
    x = 862,339.12/973.68
  6. Step 6: Final answer
    x = 885.65

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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.