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Finding the Fourth Proportional to 972.75, 1,459.84 and 356.52

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Solution

The fourth proportional to 972.75, 1,459.84 and 356.52 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,459.84 = 356.52 : x
  2. Step 2: Convert to fraction form
    972.75/1,459.84 = 356.52/x
  3. Step 3: Cross multiply
    972.75x = 1,459.84 × 356.52
  4. Step 4: Simplify right side
    972.75x = 520,462.16
  5. Step 5: Solve for x
    x = 520,462.16/972.75
  6. Step 6: Final answer
    x = 535.04

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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.