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Finding the Fourth Proportional to 972.61, 1,459.61 and 729.79

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Solution

The fourth proportional to 972.61, 1,459.61 and 729.79 is: 1,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.61 : 1,459.61 = 729.79 : x
  2. Step 2: Convert to fraction form
    972.61/1,459.61 = 729.79/x
  3. Step 3: Cross multiply
    972.61x = 1,459.61 × 729.79
  4. Step 4: Simplify right side
    972.61x = 1,065,208.78
  5. Step 5: Solve for x
    x = 1,065,208.78/972.61
  6. Step 6: Final answer
    x = 1,095.21

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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.