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Finding the Fourth Proportional to 864.88, 1,193.16 and 510.72

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Solution

The fourth proportional to 864.88, 1,193.16 and 510.72 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.88 : 1,193.16 = 510.72 : x
  2. Step 2: Convert to fraction form
    864.88/1,193.16 = 510.72/x
  3. Step 3: Cross multiply
    864.88x = 1,193.16 × 510.72
  4. Step 4: Simplify right side
    864.88x = 609,370.68
  5. Step 5: Solve for x
    x = 609,370.68/864.88
  6. Step 6: Final answer
    x = 704.57

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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.