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Finding the Fourth Proportional to 909.30, 1,369.56 and 865.56

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Solution

The fourth proportional to 909.30, 1,369.56 and 865.56 is: 1,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.30 : 1,369.56 = 865.56 : x
  2. Step 2: Convert to fraction form
    909.30/1,369.56 = 865.56/x
  3. Step 3: Cross multiply
    909.30x = 1,369.56 × 865.56
  4. Step 4: Simplify right side
    909.30x = 1,185,444.74
  5. Step 5: Solve for x
    x = 1,185,444.74/909.30
  6. Step 6: Final answer
    x = 1,303.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.