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Finding the Fourth Proportional to 972.18, 1,340.81 and 598.49

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Solution

The fourth proportional to 972.18, 1,340.81 and 598.49 is: 825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.18 : 1,340.81 = 598.49 : x
  2. Step 2: Convert to fraction form
    972.18/1,340.81 = 598.49/x
  3. Step 3: Cross multiply
    972.18x = 1,340.81 × 598.49
  4. Step 4: Simplify right side
    972.18x = 802,461.38
  5. Step 5: Solve for x
    x = 802,461.38/972.18
  6. Step 6: Final answer
    x = 825.42

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1.5x scale

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.