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Finding the Fourth Proportional to 515.09, 710.57 and 478.04

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Solution

The fourth proportional to 515.09, 710.57 and 478.04 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.09 : 710.57 = 478.04 : x
  2. Step 2: Convert to fraction form
    515.09/710.57 = 478.04/x
  3. Step 3: Cross multiply
    515.09x = 710.57 × 478.04
  4. Step 4: Simplify right side
    515.09x = 339,678.53
  5. Step 5: Solve for x
    x = 339,678.53/515.09
  6. Step 6: Final answer
    x = 659.45

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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.