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Finding the Fourth Proportional to 901.40, 1,243.92 and 508.40

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Solution

The fourth proportional to 901.40, 1,243.92 and 508.40 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.40 : 1,243.92 = 508.40 : x
  2. Step 2: Convert to fraction form
    901.40/1,243.92 = 508.40/x
  3. Step 3: Cross multiply
    901.40x = 1,243.92 × 508.40
  4. Step 4: Simplify right side
    901.40x = 632,408.93
  5. Step 5: Solve for x
    x = 632,408.93/901.40
  6. Step 6: Final answer
    x = 701.59

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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.