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Finding the Fourth Proportional to 699.84, 1,046.52 and 505.44

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Solution

The fourth proportional to 699.84, 1,046.52 and 505.44 is: 755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 1,046.52 = 505.44 : x
  2. Step 2: Convert to fraction form
    699.84/1,046.52 = 505.44/x
  3. Step 3: Cross multiply
    699.84x = 1,046.52 × 505.44
  4. Step 4: Simplify right side
    699.84x = 528,953.07
  5. Step 5: Solve for x
    x = 528,953.07/699.84
  6. Step 6: Final answer
    x = 755.82

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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.