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Finding the Fourth Proportional to 974.14, 1,343.70 and 777.58

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Solution

The fourth proportional to 974.14, 1,343.70 and 777.58 is: 1,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,343.70 = 777.58 : x
  2. Step 2: Convert to fraction form
    974.14/1,343.70 = 777.58/x
  3. Step 3: Cross multiply
    974.14x = 1,343.70 × 777.58
  4. Step 4: Simplify right side
    974.14x = 1,044,834.25
  5. Step 5: Solve for x
    x = 1,044,834.25/974.14
  6. Step 6: Final answer
    x = 1,072.57

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1.5x scale

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.