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Finding the Fourth Proportional to 909.03, 1,363.55 and 259.77

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Solution

The fourth proportional to 909.03, 1,363.55 and 259.77 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.03 : 1,363.55 = 259.77 : x
  2. Step 2: Convert to fraction form
    909.03/1,363.55 = 259.77/x
  3. Step 3: Cross multiply
    909.03x = 1,363.55 × 259.77
  4. Step 4: Simplify right side
    909.03x = 354,209.38
  5. Step 5: Solve for x
    x = 354,209.38/909.03
  6. Step 6: Final answer
    x = 389.66

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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.