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Finding the Fourth Proportional to 766.08, 1,056.26 and 647.84

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Solution

The fourth proportional to 766.08, 1,056.26 and 647.84 is: 893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.08 : 1,056.26 = 647.84 : x
  2. Step 2: Convert to fraction form
    766.08/1,056.26 = 647.84/x
  3. Step 3: Cross multiply
    766.08x = 1,056.26 × 647.84
  4. Step 4: Simplify right side
    766.08x = 684,278.96
  5. Step 5: Solve for x
    x = 684,278.96/766.08
  6. Step 6: Final answer
    x = 893.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.