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Finding the Fourth Proportional to 901.45, 1,244.15 and 586.27

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Solution

The fourth proportional to 901.45, 1,244.15 and 586.27 is: 809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.45 : 1,244.15 = 586.27 : x
  2. Step 2: Convert to fraction form
    901.45/1,244.15 = 586.27/x
  3. Step 3: Cross multiply
    901.45x = 1,244.15 × 586.27
  4. Step 4: Simplify right side
    901.45x = 729,407.82
  5. Step 5: Solve for x
    x = 729,407.82/901.45
  6. Step 6: Final answer
    x = 809.15

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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.