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Finding the Fourth Proportional to 899.36, 1,348.34 and 574.10

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Solution

The fourth proportional to 899.36, 1,348.34 and 574.10 is: 860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.36 : 1,348.34 = 574.10 : x
  2. Step 2: Convert to fraction form
    899.36/1,348.34 = 574.10/x
  3. Step 3: Cross multiply
    899.36x = 1,348.34 × 574.10
  4. Step 4: Simplify right side
    899.36x = 774,081.99
  5. Step 5: Solve for x
    x = 774,081.99/899.36
  6. Step 6: Final answer
    x = 860.70

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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.