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Finding the Fourth Proportional to 782.07, 1,078.74 and 501.86

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Solution

The fourth proportional to 782.07, 1,078.74 and 501.86 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,078.74 = 501.86 : x
  2. Step 2: Convert to fraction form
    782.07/1,078.74 = 501.86/x
  3. Step 3: Cross multiply
    782.07x = 1,078.74 × 501.86
  4. Step 4: Simplify right side
    782.07x = 541,381.18
  5. Step 5: Solve for x
    x = 541,381.18/782.07
  6. Step 6: Final answer
    x = 692.24

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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.