Home / 1,357.40-2,034.30-707.96

Finding the Fourth Proportional to 1,357.40, 2,034.30 and 707.96

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Solution

The fourth proportional to 1,357.40, 2,034.30 and 707.96 is: 1,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.40 : 2,034.30 = 707.96 : x
  2. Step 2: Convert to fraction form
    1,357.40/2,034.30 = 707.96/x
  3. Step 3: Cross multiply
    1,357.40x = 2,034.30 × 707.96
  4. Step 4: Simplify right side
    1,357.40x = 1,440,203.03
  5. Step 5: Solve for x
    x = 1,440,203.03/1,357.40
  6. Step 6: Final answer
    x = 1,061.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.