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Finding the Fourth Proportional to 514.79, 710.40 and 281.91

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Solution

The fourth proportional to 514.79, 710.40 and 281.91 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.79 : 710.40 = 281.91 : x
  2. Step 2: Convert to fraction form
    514.79/710.40 = 281.91/x
  3. Step 3: Cross multiply
    514.79x = 710.40 × 281.91
  4. Step 4: Simplify right side
    514.79x = 200,268.86
  5. Step 5: Solve for x
    x = 200,268.86/514.79
  6. Step 6: Final answer
    x = 389.03

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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.