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Finding the Fourth Proportional to 970.62, 1,339.70 and 621.11

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Solution

The fourth proportional to 970.62, 1,339.70 and 621.11 is: 857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.62 : 1,339.70 = 621.11 : x
  2. Step 2: Convert to fraction form
    970.62/1,339.70 = 621.11/x
  3. Step 3: Cross multiply
    970.62x = 1,339.70 × 621.11
  4. Step 4: Simplify right side
    970.62x = 832,091.26
  5. Step 5: Solve for x
    x = 832,091.26/970.62
  6. Step 6: Final answer
    x = 857.28

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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.