Home / 1,284.30-1,927.29-707.58

Finding the Fourth Proportional to 1,284.30, 1,927.29 and 707.58

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Solution

The fourth proportional to 1,284.30, 1,927.29 and 707.58 is: 1,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.30 : 1,927.29 = 707.58 : x
  2. Step 2: Convert to fraction form
    1,284.30/1,927.29 = 707.58/x
  3. Step 3: Cross multiply
    1,284.30x = 1,927.29 × 707.58
  4. Step 4: Simplify right side
    1,284.30x = 1,363,711.86
  5. Step 5: Solve for x
    x = 1,363,711.86/1,284.30
  6. Step 6: Final answer
    x = 1,061.83

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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.