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Finding the Fourth Proportional to 700.83, 1,050.54 and 392.82

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Solution

The fourth proportional to 700.83, 1,050.54 and 392.82 is: 588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 1,050.54 = 392.82 : x
  2. Step 2: Convert to fraction form
    700.83/1,050.54 = 392.82/x
  3. Step 3: Cross multiply
    700.83x = 1,050.54 × 392.82
  4. Step 4: Simplify right side
    700.83x = 412,673.12
  5. Step 5: Solve for x
    x = 412,673.12/700.83
  6. Step 6: Final answer
    x = 588.83

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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.