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Finding the Fourth Proportional to 2,898.46, 4,347.69 and 707.17

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Solution

The fourth proportional to 2,898.46, 4,347.69 and 707.17 is: 1,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.46 : 4,347.69 = 707.17 : x
  2. Step 2: Convert to fraction form
    2,898.46/4,347.69 = 707.17/x
  3. Step 3: Cross multiply
    2,898.46x = 4,347.69 × 707.17
  4. Step 4: Simplify right side
    2,898.46x = 3,074,545.45
  5. Step 5: Solve for x
    x = 3,074,545.45/2,898.46
  6. Step 6: Final answer
    x = 1,060.75

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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.