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Finding the Fourth Proportional to 970.96, 1,340.04 and 557.04

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Solution

The fourth proportional to 970.96, 1,340.04 and 557.04 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.96 : 1,340.04 = 557.04 : x
  2. Step 2: Convert to fraction form
    970.96/1,340.04 = 557.04/x
  3. Step 3: Cross multiply
    970.96x = 1,340.04 × 557.04
  4. Step 4: Simplify right side
    970.96x = 746,455.88
  5. Step 5: Solve for x
    x = 746,455.88/970.96
  6. Step 6: Final answer
    x = 768.78

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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.