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Finding the Fourth Proportional to 700.48, 1,050.77 and 238.13

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Solution

The fourth proportional to 700.48, 1,050.77 and 238.13 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.48 : 1,050.77 = 238.13 : x
  2. Step 2: Convert to fraction form
    700.48/1,050.77 = 238.13/x
  3. Step 3: Cross multiply
    700.48x = 1,050.77 × 238.13
  4. Step 4: Simplify right side
    700.48x = 250,218.67
  5. Step 5: Solve for x
    x = 250,218.67/700.48
  6. Step 6: Final answer
    x = 357.21

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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.