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Finding the Fourth Proportional to 972.69, 1,342.31 and 574.35

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Solution

The fourth proportional to 972.69, 1,342.31 and 574.35 is: 792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.69 : 1,342.31 = 574.35 : x
  2. Step 2: Convert to fraction form
    972.69/1,342.31 = 574.35/x
  3. Step 3: Cross multiply
    972.69x = 1,342.31 × 574.35
  4. Step 4: Simplify right side
    972.69x = 770,952.88
  5. Step 5: Solve for x
    x = 770,952.88/972.69
  6. Step 6: Final answer
    x = 792.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.