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Finding the Fourth Proportional to 901.72, 1,244.63 and 586.99

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Solution

The fourth proportional to 901.72, 1,244.63 and 586.99 is: 810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.72 : 1,244.63 = 586.99 : x
  2. Step 2: Convert to fraction form
    901.72/1,244.63 = 586.99/x
  3. Step 3: Cross multiply
    901.72x = 1,244.63 × 586.99
  4. Step 4: Simplify right side
    901.72x = 730,585.36
  5. Step 5: Solve for x
    x = 730,585.36/901.72
  6. Step 6: Final answer
    x = 810.21

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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.