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Finding the Fourth Proportional to 856.86, 1,283.50 and 710.26

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Solution

The fourth proportional to 856.86, 1,283.50 and 710.26 is: 1,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.86 : 1,283.50 = 710.26 : x
  2. Step 2: Convert to fraction form
    856.86/1,283.50 = 710.26/x
  3. Step 3: Cross multiply
    856.86x = 1,283.50 × 710.26
  4. Step 4: Simplify right side
    856.86x = 911,618.71
  5. Step 5: Solve for x
    x = 911,618.71/856.86
  6. Step 6: Final answer
    x = 1,063.91

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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.