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Finding the Fourth Proportional to 856.71, 1,284.21 and 531.90

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Solution

The fourth proportional to 856.71, 1,284.21 and 531.90 is: 797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.71 : 1,284.21 = 531.90 : x
  2. Step 2: Convert to fraction form
    856.71/1,284.21 = 531.90/x
  3. Step 3: Cross multiply
    856.71x = 1,284.21 × 531.90
  4. Step 4: Simplify right side
    856.71x = 683,071.30
  5. Step 5: Solve for x
    x = 683,071.30/856.71
  6. Step 6: Final answer
    x = 797.32

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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.