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Finding the Fourth Proportional to 875.43, 1,311.42 and 509.45

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Solution

The fourth proportional to 875.43, 1,311.42 and 509.45 is: 763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.43 : 1,311.42 = 509.45 : x
  2. Step 2: Convert to fraction form
    875.43/1,311.42 = 509.45/x
  3. Step 3: Cross multiply
    875.43x = 1,311.42 × 509.45
  4. Step 4: Simplify right side
    875.43x = 668,096.36
  5. Step 5: Solve for x
    x = 668,096.36/875.43
  6. Step 6: Final answer
    x = 763.16

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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.