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Finding the Fourth Proportional to 514.99, 710.86 and 410.27

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Solution

The fourth proportional to 514.99, 710.86 and 410.27 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.99 : 710.86 = 410.27 : x
  2. Step 2: Convert to fraction form
    514.99/710.86 = 410.27/x
  3. Step 3: Cross multiply
    514.99x = 710.86 × 410.27
  4. Step 4: Simplify right side
    514.99x = 291,642.48
  5. Step 5: Solve for x
    x = 291,642.48/514.99
  6. Step 6: Final answer
    x = 566.31

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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.