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Finding the Fourth Proportional to 514.99, 710.56 and 315.93

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Solution

The fourth proportional to 514.99, 710.56 and 315.93 is: 435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.99 : 710.56 = 315.93 : x
  2. Step 2: Convert to fraction form
    514.99/710.56 = 315.93/x
  3. Step 3: Cross multiply
    514.99x = 710.56 × 315.93
  4. Step 4: Simplify right side
    514.99x = 224,487.22
  5. Step 5: Solve for x
    x = 224,487.22/514.99
  6. Step 6: Final answer
    x = 435.91

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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.