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Finding the Fourth Proportional to 514.51, 710.36 and 459.15

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Solution

The fourth proportional to 514.51, 710.36 and 459.15 is: 633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.51 : 710.36 = 459.15 : x
  2. Step 2: Convert to fraction form
    514.51/710.36 = 459.15/x
  3. Step 3: Cross multiply
    514.51x = 710.36 × 459.15
  4. Step 4: Simplify right side
    514.51x = 326,161.27
  5. Step 5: Solve for x
    x = 326,161.27/514.51
  6. Step 6: Final answer
    x = 633.93

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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.