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Finding the Fourth Proportional to 1,014.61, 1,521.91 and 245.11

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Solution

The fourth proportional to 1,014.61, 1,521.91 and 245.11 is: 367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.61 : 1,521.91 = 245.11 : x
  2. Step 2: Convert to fraction form
    1,014.61/1,521.91 = 245.11/x
  3. Step 3: Cross multiply
    1,014.61x = 1,521.91 × 245.11
  4. Step 4: Simplify right side
    1,014.61x = 373,035.40
  5. Step 5: Solve for x
    x = 373,035.40/1,014.61
  6. Step 6: Final answer
    x = 367.66

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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.