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Finding the Fourth Proportional to 859.80, 1,186.47 and 510.42

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Solution

The fourth proportional to 859.80, 1,186.47 and 510.42 is: 704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.80 : 1,186.47 = 510.42 : x
  2. Step 2: Convert to fraction form
    859.80/1,186.47 = 510.42/x
  3. Step 3: Cross multiply
    859.80x = 1,186.47 × 510.42
  4. Step 4: Simplify right side
    859.80x = 605,598.02
  5. Step 5: Solve for x
    x = 605,598.02/859.80
  6. Step 6: Final answer
    x = 704.35

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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.