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Finding the Fourth Proportional to 677.94, 1,015.84 and 524.24

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Solution

The fourth proportional to 677.94, 1,015.84 and 524.24 is: 785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 1,015.84 = 524.24 : x
  2. Step 2: Convert to fraction form
    677.94/1,015.84 = 524.24/x
  3. Step 3: Cross multiply
    677.94x = 1,015.84 × 524.24
  4. Step 4: Simplify right side
    677.94x = 532,543.96
  5. Step 5: Solve for x
    x = 532,543.96/677.94
  6. Step 6: Final answer
    x = 785.53

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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.