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Finding the Fourth Proportional to 771.60, 1,064.76 and 709.68

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Solution

The fourth proportional to 771.60, 1,064.76 and 709.68 is: 979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,064.76 = 709.68 : x
  2. Step 2: Convert to fraction form
    771.60/1,064.76 = 709.68/x
  3. Step 3: Cross multiply
    771.60x = 1,064.76 × 709.68
  4. Step 4: Simplify right side
    771.60x = 755,638.88
  5. Step 5: Solve for x
    x = 755,638.88/771.60
  6. Step 6: Final answer
    x = 979.31

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Double scale
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1.5x scale

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.