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Finding the Fourth Proportional to 1,801.48, 2,701.99 and 569.02

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Solution

The fourth proportional to 1,801.48, 2,701.99 and 569.02 is: 853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.48 : 2,701.99 = 569.02 : x
  2. Step 2: Convert to fraction form
    1,801.48/2,701.99 = 569.02/x
  3. Step 3: Cross multiply
    1,801.48x = 2,701.99 × 569.02
  4. Step 4: Simplify right side
    1,801.48x = 1,537,472.84
  5. Step 5: Solve for x
    x = 1,537,472.84/1,801.48
  6. Step 6: Final answer
    x = 853.45

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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.