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Finding the Fourth Proportional to 899.78, 1,348.26 and 570.02

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Solution

The fourth proportional to 899.78, 1,348.26 and 570.02 is: 854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.78 : 1,348.26 = 570.02 : x
  2. Step 2: Convert to fraction form
    899.78/1,348.26 = 570.02/x
  3. Step 3: Cross multiply
    899.78x = 1,348.26 × 570.02
  4. Step 4: Simplify right side
    899.78x = 768,535.17
  5. Step 5: Solve for x
    x = 768,535.17/899.78
  6. Step 6: Final answer
    x = 854.14

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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.