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Finding the Fourth Proportional to 875.79, 1,311.99 and 509.82

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Solution

The fourth proportional to 875.79, 1,311.99 and 509.82 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.79 : 1,311.99 = 509.82 : x
  2. Step 2: Convert to fraction form
    875.79/1,311.99 = 509.82/x
  3. Step 3: Cross multiply
    875.79x = 1,311.99 × 509.82
  4. Step 4: Simplify right side
    875.79x = 668,878.74
  5. Step 5: Solve for x
    x = 668,878.74/875.79
  6. Step 6: Final answer
    x = 763.74

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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.