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Finding the Fourth Proportional to 973.49, 1,343.99 and 642.47

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Solution

The fourth proportional to 973.49, 1,343.99 and 642.47 is: 886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.49 : 1,343.99 = 642.47 : x
  2. Step 2: Convert to fraction form
    973.49/1,343.99 = 642.47/x
  3. Step 3: Cross multiply
    973.49x = 1,343.99 × 642.47
  4. Step 4: Simplify right side
    973.49x = 863,468.14
  5. Step 5: Solve for x
    x = 863,468.14/973.49
  6. Step 6: Final answer
    x = 886.99

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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.