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Finding the Fourth Proportional to 856.32, 1,284.72 and 702.96

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Solution

The fourth proportional to 856.32, 1,284.72 and 702.96 is: 1,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.32 : 1,284.72 = 702.96 : x
  2. Step 2: Convert to fraction form
    856.32/1,284.72 = 702.96/x
  3. Step 3: Cross multiply
    856.32x = 1,284.72 × 702.96
  4. Step 4: Simplify right side
    856.32x = 903,106.77
  5. Step 5: Solve for x
    x = 903,106.77/856.32
  6. Step 6: Final answer
    x = 1,054.64

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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.