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Finding the Fourth Proportional to 945.59, 1,411.23 and 867.15

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Solution

The fourth proportional to 945.59, 1,411.23 and 867.15 is: 1,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.59 : 1,411.23 = 867.15 : x
  2. Step 2: Convert to fraction form
    945.59/1,411.23 = 867.15/x
  3. Step 3: Cross multiply
    945.59x = 1,411.23 × 867.15
  4. Step 4: Simplify right side
    945.59x = 1,223,750.26
  5. Step 5: Solve for x
    x = 1,223,750.26/945.59
  6. Step 6: Final answer
    x = 1,294.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.