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Finding the Fourth Proportional to 972.84, 1,458.16 and 485.56

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Solution

The fourth proportional to 972.84, 1,458.16 and 485.56 is: 727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,458.16 = 485.56 : x
  2. Step 2: Convert to fraction form
    972.84/1,458.16 = 485.56/x
  3. Step 3: Cross multiply
    972.84x = 1,458.16 × 485.56
  4. Step 4: Simplify right side
    972.84x = 708,024.17
  5. Step 5: Solve for x
    x = 708,024.17/972.84
  6. Step 6: Final answer
    x = 727.79

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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.