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Finding the Fourth Proportional to 972.31, 1,465.79 and 909.67

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Solution

The fourth proportional to 972.31, 1,465.79 and 909.67 is: 1,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.31 : 1,465.79 = 909.67 : x
  2. Step 2: Convert to fraction form
    972.31/1,465.79 = 909.67/x
  3. Step 3: Cross multiply
    972.31x = 1,465.79 × 909.67
  4. Step 4: Simplify right side
    972.31x = 1,333,385.19
  5. Step 5: Solve for x
    x = 1,333,385.19/972.31
  6. Step 6: Final answer
    x = 1,371.36

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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.