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Finding the Fourth Proportional to 521.94, 714.80 and 515.12

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Solution

The fourth proportional to 521.94, 714.80 and 515.12 is: 705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 714.80 = 515.12 : x
  2. Step 2: Convert to fraction form
    521.94/714.80 = 515.12/x
  3. Step 3: Cross multiply
    521.94x = 714.80 × 515.12
  4. Step 4: Simplify right side
    521.94x = 368,207.78
  5. Step 5: Solve for x
    x = 368,207.78/521.94
  6. Step 6: Final answer
    x = 705.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.