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Finding the Fourth Proportional to 972.98, 1,456.61 and 643.31

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Solution

The fourth proportional to 972.98, 1,456.61 and 643.31 is: 963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.98 : 1,456.61 = 643.31 : x
  2. Step 2: Convert to fraction form
    972.98/1,456.61 = 643.31/x
  3. Step 3: Cross multiply
    972.98x = 1,456.61 × 643.31
  4. Step 4: Simplify right side
    972.98x = 937,041.28
  5. Step 5: Solve for x
    x = 937,041.28/972.98
  6. Step 6: Final answer
    x = 963.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.