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Finding the Fourth Proportional to 514.83, 710.26 and 312.87

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Solution

The fourth proportional to 514.83, 710.26 and 312.87 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.83 : 710.26 = 312.87 : x
  2. Step 2: Convert to fraction form
    514.83/710.26 = 312.87/x
  3. Step 3: Cross multiply
    514.83x = 710.26 × 312.87
  4. Step 4: Simplify right side
    514.83x = 222,219.05
  5. Step 5: Solve for x
    x = 222,219.05/514.83
  6. Step 6: Final answer
    x = 431.64

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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.