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Finding the Fourth Proportional to 909.83, 1,257.22 and 647.39

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Solution

The fourth proportional to 909.83, 1,257.22 and 647.39 is: 894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.83 : 1,257.22 = 647.39 : x
  2. Step 2: Convert to fraction form
    909.83/1,257.22 = 647.39/x
  3. Step 3: Cross multiply
    909.83x = 1,257.22 × 647.39
  4. Step 4: Simplify right side
    909.83x = 813,915.61
  5. Step 5: Solve for x
    x = 813,915.61/909.83
  6. Step 6: Final answer
    x = 894.58

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Double scale
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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.