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Finding the Fourth Proportional to 1,145.31, 1,581.11 and 774.24

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Solution

The fourth proportional to 1,145.31, 1,581.11 and 774.24 is: 1,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.31 : 1,581.11 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,145.31/1,581.11 = 774.24/x
  3. Step 3: Cross multiply
    1,145.31x = 1,581.11 × 774.24
  4. Step 4: Simplify right side
    1,145.31x = 1,224,158.61
  5. Step 5: Solve for x
    x = 1,224,158.61/1,145.31
  6. Step 6: Final answer
    x = 1,068.84

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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.