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Finding the Fourth Proportional to 909.16, 1,363.52 and 421.74

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Solution

The fourth proportional to 909.16, 1,363.52 and 421.74 is: 632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.16 : 1,363.52 = 421.74 : x
  2. Step 2: Convert to fraction form
    909.16/1,363.52 = 421.74/x
  3. Step 3: Cross multiply
    909.16x = 1,363.52 × 421.74
  4. Step 4: Simplify right side
    909.16x = 575,050.92
  5. Step 5: Solve for x
    x = 575,050.92/909.16
  6. Step 6: Final answer
    x = 632.51

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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.