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Finding the Fourth Proportional to 909.35, 1,253.50 and 712.52

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Solution

The fourth proportional to 909.35, 1,253.50 and 712.52 is: 982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.35 : 1,253.50 = 712.52 : x
  2. Step 2: Convert to fraction form
    909.35/1,253.50 = 712.52/x
  3. Step 3: Cross multiply
    909.35x = 1,253.50 × 712.52
  4. Step 4: Simplify right side
    909.35x = 893,143.82
  5. Step 5: Solve for x
    x = 893,143.82/909.35
  6. Step 6: Final answer
    x = 982.18

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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.