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Finding the Fourth Proportional to 909.95, 1,365.12 and 520.11

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Solution

The fourth proportional to 909.95, 1,365.12 and 520.11 is: 780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.95 : 1,365.12 = 520.11 : x
  2. Step 2: Convert to fraction form
    909.95/1,365.12 = 520.11/x
  3. Step 3: Cross multiply
    909.95x = 1,365.12 × 520.11
  4. Step 4: Simplify right side
    909.95x = 710,012.56
  5. Step 5: Solve for x
    x = 710,012.56/909.95
  6. Step 6: Final answer
    x = 780.28

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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.