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Finding the Fourth Proportional to 1,398.68, 1,930.18 and 777.68

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Solution

The fourth proportional to 1,398.68, 1,930.18 and 777.68 is: 1,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.68 : 1,930.18 = 777.68 : x
  2. Step 2: Convert to fraction form
    1,398.68/1,930.18 = 777.68/x
  3. Step 3: Cross multiply
    1,398.68x = 1,930.18 × 777.68
  4. Step 4: Simplify right side
    1,398.68x = 1,501,062.38
  5. Step 5: Solve for x
    x = 1,501,062.38/1,398.68
  6. Step 6: Final answer
    x = 1,073.20

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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.