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Finding the Fourth Proportional to 842.02, 1,161.72 and 510.34

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Solution

The fourth proportional to 842.02, 1,161.72 and 510.34 is: 704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,161.72 = 510.34 : x
  2. Step 2: Convert to fraction form
    842.02/1,161.72 = 510.34/x
  3. Step 3: Cross multiply
    842.02x = 1,161.72 × 510.34
  4. Step 4: Simplify right side
    842.02x = 592,872.18
  5. Step 5: Solve for x
    x = 592,872.18/842.02
  6. Step 6: Final answer
    x = 704.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.