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Finding the Fourth Proportional to 771.34, 1,062.78 and 644.86

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Solution

The fourth proportional to 771.34, 1,062.78 and 644.86 is: 888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.34 : 1,062.78 = 644.86 : x
  2. Step 2: Convert to fraction form
    771.34/1,062.78 = 644.86/x
  3. Step 3: Cross multiply
    771.34x = 1,062.78 × 644.86
  4. Step 4: Simplify right side
    771.34x = 685,347.76
  5. Step 5: Solve for x
    x = 685,347.76/771.34
  6. Step 6: Final answer
    x = 888.52

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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.