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Finding the Fourth Proportional to 699.35, 1,045.91 and 524.09

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Solution

The fourth proportional to 699.35, 1,045.91 and 524.09 is: 783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.35 : 1,045.91 = 524.09 : x
  2. Step 2: Convert to fraction form
    699.35/1,045.91 = 524.09/x
  3. Step 3: Cross multiply
    699.35x = 1,045.91 × 524.09
  4. Step 4: Simplify right side
    699.35x = 548,149.01
  5. Step 5: Solve for x
    x = 548,149.01/699.35
  6. Step 6: Final answer
    x = 783.80

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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.