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Finding the Fourth Proportional to 909.16, 1,359.90 and 772.36

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Solution

The fourth proportional to 909.16, 1,359.90 and 772.36 is: 1,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.16 : 1,359.90 = 772.36 : x
  2. Step 2: Convert to fraction form
    909.16/1,359.90 = 772.36/x
  3. Step 3: Cross multiply
    909.16x = 1,359.90 × 772.36
  4. Step 4: Simplify right side
    909.16x = 1,050,332.36
  5. Step 5: Solve for x
    x = 1,050,332.36/909.16
  6. Step 6: Final answer
    x = 1,155.28

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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.