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Finding the Fourth Proportional to 972.25, 1,341.71 and 558.33

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Solution

The fourth proportional to 972.25, 1,341.71 and 558.33 is: 770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.25 : 1,341.71 = 558.33 : x
  2. Step 2: Convert to fraction form
    972.25/1,341.71 = 558.33/x
  3. Step 3: Cross multiply
    972.25x = 1,341.71 × 558.33
  4. Step 4: Simplify right side
    972.25x = 749,114.15
  5. Step 5: Solve for x
    x = 749,114.15/972.25
  6. Step 6: Final answer
    x = 770.50

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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.