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Finding the Fourth Proportional to 1,156.16, 1,591.08 and 930.32

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Solution

The fourth proportional to 1,156.16, 1,591.08 and 930.32 is: 1,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.16 : 1,591.08 = 930.32 : x
  2. Step 2: Convert to fraction form
    1,156.16/1,591.08 = 930.32/x
  3. Step 3: Cross multiply
    1,156.16x = 1,591.08 × 930.32
  4. Step 4: Simplify right side
    1,156.16x = 1,480,213.55
  5. Step 5: Solve for x
    x = 1,480,213.55/1,156.16
  6. Step 6: Final answer
    x = 1,280.28

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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.