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Finding the Fourth Proportional to 515.16, 710.91 and 315.93

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Solution

The fourth proportional to 515.16, 710.91 and 315.93 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 710.91 = 315.93 : x
  2. Step 2: Convert to fraction form
    515.16/710.91 = 315.93/x
  3. Step 3: Cross multiply
    515.16x = 710.91 × 315.93
  4. Step 4: Simplify right side
    515.16x = 224,594.24
  5. Step 5: Solve for x
    x = 224,594.24/515.16
  6. Step 6: Final answer
    x = 435.97

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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.