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Finding the Fourth Proportional to 859.98, 1,186.59 and 510.78

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Solution

The fourth proportional to 859.98, 1,186.59 and 510.78 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.98 : 1,186.59 = 510.78 : x
  2. Step 2: Convert to fraction form
    859.98/1,186.59 = 510.78/x
  3. Step 3: Cross multiply
    859.98x = 1,186.59 × 510.78
  4. Step 4: Simplify right side
    859.98x = 606,086.44
  5. Step 5: Solve for x
    x = 606,086.44/859.98
  6. Step 6: Final answer
    x = 704.77

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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.