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Finding the Fourth Proportional to 699.44, 1,053.23 and 505.77

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Solution

The fourth proportional to 699.44, 1,053.23 and 505.77 is: 761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 1,053.23 = 505.77 : x
  2. Step 2: Convert to fraction form
    699.44/1,053.23 = 505.77/x
  3. Step 3: Cross multiply
    699.44x = 1,053.23 × 505.77
  4. Step 4: Simplify right side
    699.44x = 532,693.40
  5. Step 5: Solve for x
    x = 532,693.40/699.44
  6. Step 6: Final answer
    x = 761.60

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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.