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Finding the Fourth Proportional to 1,034.99, 1,559.62 and 856.40

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Solution

The fourth proportional to 1,034.99, 1,559.62 and 856.40 is: 1,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.99 : 1,559.62 = 856.40 : x
  2. Step 2: Convert to fraction form
    1,034.99/1,559.62 = 856.40/x
  3. Step 3: Cross multiply
    1,034.99x = 1,559.62 × 856.40
  4. Step 4: Simplify right side
    1,034.99x = 1,335,654.29
  5. Step 5: Solve for x
    x = 1,335,654.29/1,034.99
  6. Step 6: Final answer
    x = 1,290.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.