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Finding the Fourth Proportional to 901.56, 1,244.13 and 508.58

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Solution

The fourth proportional to 901.56, 1,244.13 and 508.58 is: 701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.56 : 1,244.13 = 508.58 : x
  2. Step 2: Convert to fraction form
    901.56/1,244.13 = 508.58/x
  3. Step 3: Cross multiply
    901.56x = 1,244.13 × 508.58
  4. Step 4: Simplify right side
    901.56x = 632,739.64
  5. Step 5: Solve for x
    x = 632,739.64/901.56
  6. Step 6: Final answer
    x = 701.83

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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.