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Finding the Fourth Proportional to 847.64, 1,269.75 and 710.30

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Solution

The fourth proportional to 847.64, 1,269.75 and 710.30 is: 1,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.64 : 1,269.75 = 710.30 : x
  2. Step 2: Convert to fraction form
    847.64/1,269.75 = 710.30/x
  3. Step 3: Cross multiply
    847.64x = 1,269.75 × 710.30
  4. Step 4: Simplify right side
    847.64x = 901,903.43
  5. Step 5: Solve for x
    x = 901,903.43/847.64
  6. Step 6: Final answer
    x = 1,064.02

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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.