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Finding the Fourth Proportional to 909.74, 1,365.86 and 471.30

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Solution

The fourth proportional to 909.74, 1,365.86 and 471.30 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.74 : 1,365.86 = 471.30 : x
  2. Step 2: Convert to fraction form
    909.74/1,365.86 = 471.30/x
  3. Step 3: Cross multiply
    909.74x = 1,365.86 × 471.30
  4. Step 4: Simplify right side
    909.74x = 643,729.82
  5. Step 5: Solve for x
    x = 643,729.82/909.74
  6. Step 6: Final answer
    x = 707.60

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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.