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Finding the Fourth Proportional to 700.29, 1,050.36 and 310.30

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Solution

The fourth proportional to 700.29, 1,050.36 and 310.30 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.29 : 1,050.36 = 310.30 : x
  2. Step 2: Convert to fraction form
    700.29/1,050.36 = 310.30/x
  3. Step 3: Cross multiply
    700.29x = 1,050.36 × 310.30
  4. Step 4: Simplify right side
    700.29x = 325,924.66
  5. Step 5: Solve for x
    x = 325,924.66/700.29
  6. Step 6: Final answer
    x = 465.41

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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.