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Finding the Fourth Proportional to 973.70, 1,342.53 and 642.02

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Solution

The fourth proportional to 973.70, 1,342.53 and 642.02 is: 885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.70 : 1,342.53 = 642.02 : x
  2. Step 2: Convert to fraction form
    973.70/1,342.53 = 642.02/x
  3. Step 3: Cross multiply
    973.70x = 1,342.53 × 642.02
  4. Step 4: Simplify right side
    973.70x = 861,931.11
  5. Step 5: Solve for x
    x = 861,931.11/973.70
  6. Step 6: Final answer
    x = 885.21

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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.