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Finding the Fourth Proportional to 970, 1,338.60 and 556

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Solution

The fourth proportional to 970, 1,338.60 and 556 is: 767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970 : 1,338.60 = 556 : x
  2. Step 2: Convert to fraction form
    970/1,338.60 = 556/x
  3. Step 3: Cross multiply
    970x = 1,338.60 × 556
  4. Step 4: Simplify right side
    970x = 744,261.60
  5. Step 5: Solve for x
    x = 744,261.60/970
  6. Step 6: Final answer
    x = 767.28

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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.