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Finding the Fourth Proportional to 921.16, 1,270.68 and 589.40

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Solution

The fourth proportional to 921.16, 1,270.68 and 589.40 is: 813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.16 : 1,270.68 = 589.40 : x
  2. Step 2: Convert to fraction form
    921.16/1,270.68 = 589.40/x
  3. Step 3: Cross multiply
    921.16x = 1,270.68 × 589.40
  4. Step 4: Simplify right side
    921.16x = 748,938.79
  5. Step 5: Solve for x
    x = 748,938.79/921.16
  6. Step 6: Final answer
    x = 813.04

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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.