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Finding the Fourth Proportional to 1,014.34, 1,521.54 and 794.76

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Solution

The fourth proportional to 1,014.34, 1,521.54 and 794.76 is: 1,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.34 : 1,521.54 = 794.76 : x
  2. Step 2: Convert to fraction form
    1,014.34/1,521.54 = 794.76/x
  3. Step 3: Cross multiply
    1,014.34x = 1,521.54 × 794.76
  4. Step 4: Simplify right side
    1,014.34x = 1,209,259.13
  5. Step 5: Solve for x
    x = 1,209,259.13/1,014.34
  6. Step 6: Final answer
    x = 1,192.16

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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.