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Finding the Fourth Proportional to 700.42, 1,050.83 and 284.08

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Solution

The fourth proportional to 700.42, 1,050.83 and 284.08 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.42 : 1,050.83 = 284.08 : x
  2. Step 2: Convert to fraction form
    700.42/1,050.83 = 284.08/x
  3. Step 3: Cross multiply
    700.42x = 1,050.83 × 284.08
  4. Step 4: Simplify right side
    700.42x = 298,519.79
  5. Step 5: Solve for x
    x = 298,519.79/700.42
  6. Step 6: Final answer
    x = 426.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.