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Finding the Fourth Proportional to 1,071.54, 1,605.22 and 607.89

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Solution

The fourth proportional to 1,071.54, 1,605.22 and 607.89 is: 910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.54 : 1,605.22 = 607.89 : x
  2. Step 2: Convert to fraction form
    1,071.54/1,605.22 = 607.89/x
  3. Step 3: Cross multiply
    1,071.54x = 1,605.22 × 607.89
  4. Step 4: Simplify right side
    1,071.54x = 975,797.19
  5. Step 5: Solve for x
    x = 975,797.19/1,071.54
  6. Step 6: Final answer
    x = 910.65

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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.