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Finding the Fourth Proportional to 970.02, 1,340.01 and 921.42

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Solution

The fourth proportional to 970.02, 1,340.01 and 921.42 is: 1,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,340.01 = 921.42 : x
  2. Step 2: Convert to fraction form
    970.02/1,340.01 = 921.42/x
  3. Step 3: Cross multiply
    970.02x = 1,340.01 × 921.42
  4. Step 4: Simplify right side
    970.02x = 1,234,712.01
  5. Step 5: Solve for x
    x = 1,234,712.01/970.02
  6. Step 6: Final answer
    x = 1,272.87

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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.