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Finding the Fourth Proportional to 909.32, 1,363.10 and 292.58

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Solution

The fourth proportional to 909.32, 1,363.10 and 292.58 is: 438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.32 : 1,363.10 = 292.58 : x
  2. Step 2: Convert to fraction form
    909.32/1,363.10 = 292.58/x
  3. Step 3: Cross multiply
    909.32x = 1,363.10 × 292.58
  4. Step 4: Simplify right side
    909.32x = 398,807.52
  5. Step 5: Solve for x
    x = 398,807.52/909.32
  6. Step 6: Final answer
    x = 438.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.