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Finding the Fourth Proportional to 510.52, 704.36 and 314.08

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Solution

The fourth proportional to 510.52, 704.36 and 314.08 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 704.36 = 314.08 : x
  2. Step 2: Convert to fraction form
    510.52/704.36 = 314.08/x
  3. Step 3: Cross multiply
    510.52x = 704.36 × 314.08
  4. Step 4: Simplify right side
    510.52x = 221,225.39
  5. Step 5: Solve for x
    x = 221,225.39/510.52
  6. Step 6: Final answer
    x = 433.33

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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.