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Finding the Fourth Proportional to 771.68, 1,065.12 and 509.60

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Solution

The fourth proportional to 771.68, 1,065.12 and 509.60 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.68 : 1,065.12 = 509.60 : x
  2. Step 2: Convert to fraction form
    771.68/1,065.12 = 509.60/x
  3. Step 3: Cross multiply
    771.68x = 1,065.12 × 509.60
  4. Step 4: Simplify right side
    771.68x = 542,785.15
  5. Step 5: Solve for x
    x = 542,785.15/771.68
  6. Step 6: Final answer
    x = 703.38

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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.