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Finding the Fourth Proportional to 859.32, 1,186.18 and 510.21

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Solution

The fourth proportional to 859.32, 1,186.18 and 510.21 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,186.18 = 510.21 : x
  2. Step 2: Convert to fraction form
    859.32/1,186.18 = 510.21/x
  3. Step 3: Cross multiply
    859.32x = 1,186.18 × 510.21
  4. Step 4: Simplify right side
    859.32x = 605,199.62
  5. Step 5: Solve for x
    x = 605,199.62/859.32
  6. Step 6: Final answer
    x = 704.28

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1.5x scale

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.