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Finding the Fourth Proportional to 895.24, 1,339.62 and 605.80

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Solution

The fourth proportional to 895.24, 1,339.62 and 605.80 is: 906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.24 : 1,339.62 = 605.80 : x
  2. Step 2: Convert to fraction form
    895.24/1,339.62 = 605.80/x
  3. Step 3: Cross multiply
    895.24x = 1,339.62 × 605.80
  4. Step 4: Simplify right side
    895.24x = 811,541.80
  5. Step 5: Solve for x
    x = 811,541.80/895.24
  6. Step 6: Final answer
    x = 906.51

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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.