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Finding the Fourth Proportional to 700.22, 1,053.97 and 594.51

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Solution

The fourth proportional to 700.22, 1,053.97 and 594.51 is: 894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 1,053.97 = 594.51 : x
  2. Step 2: Convert to fraction form
    700.22/1,053.97 = 594.51/x
  3. Step 3: Cross multiply
    700.22x = 1,053.97 × 594.51
  4. Step 4: Simplify right side
    700.22x = 626,596.45
  5. Step 5: Solve for x
    x = 626,596.45/700.22
  6. Step 6: Final answer
    x = 894.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.