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Finding the Fourth Proportional to 1,050.51, 1,449.54 and 630.77

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Solution

The fourth proportional to 1,050.51, 1,449.54 and 630.77 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.51 : 1,449.54 = 630.77 : x
  2. Step 2: Convert to fraction form
    1,050.51/1,449.54 = 630.77/x
  3. Step 3: Cross multiply
    1,050.51x = 1,449.54 × 630.77
  4. Step 4: Simplify right side
    1,050.51x = 914,326.35
  5. Step 5: Solve for x
    x = 914,326.35/1,050.51
  6. Step 6: Final answer
    x = 870.36

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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.