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Finding the Fourth Proportional to 972.85, 1,458.93 and 356.38

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Solution

The fourth proportional to 972.85, 1,458.93 and 356.38 is: 534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.85 : 1,458.93 = 356.38 : x
  2. Step 2: Convert to fraction form
    972.85/1,458.93 = 356.38/x
  3. Step 3: Cross multiply
    972.85x = 1,458.93 × 356.38
  4. Step 4: Simplify right side
    972.85x = 519,933.47
  5. Step 5: Solve for x
    x = 519,933.47/972.85
  6. Step 6: Final answer
    x = 534.44

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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.