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Finding the Fourth Proportional to 864.50, 1,193.01 and 510.53

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Solution

The fourth proportional to 864.50, 1,193.01 and 510.53 is: 704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.50 : 1,193.01 = 510.53 : x
  2. Step 2: Convert to fraction form
    864.50/1,193.01 = 510.53/x
  3. Step 3: Cross multiply
    864.50x = 1,193.01 × 510.53
  4. Step 4: Simplify right side
    864.50x = 609,067.40
  5. Step 5: Solve for x
    x = 609,067.40/864.50
  6. Step 6: Final answer
    x = 704.53

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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.