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Finding the Fourth Proportional to 970.64, 1,338.94 and 615.91

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Solution

The fourth proportional to 970.64, 1,338.94 and 615.91 is: 849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.64 : 1,338.94 = 615.91 : x
  2. Step 2: Convert to fraction form
    970.64/1,338.94 = 615.91/x
  3. Step 3: Cross multiply
    970.64x = 1,338.94 × 615.91
  4. Step 4: Simplify right side
    970.64x = 824,666.54
  5. Step 5: Solve for x
    x = 824,666.54/970.64
  6. Step 6: Final answer
    x = 849.61

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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.