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Finding the Fourth Proportional to 970.28, 1,339.62 and 707.84

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Solution

The fourth proportional to 970.28, 1,339.62 and 707.84 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.28 : 1,339.62 = 707.84 : x
  2. Step 2: Convert to fraction form
    970.28/1,339.62 = 707.84/x
  3. Step 3: Cross multiply
    970.28x = 1,339.62 × 707.84
  4. Step 4: Simplify right side
    970.28x = 948,236.62
  5. Step 5: Solve for x
    x = 948,236.62/970.28
  6. Step 6: Final answer
    x = 977.28

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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.