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Finding the Fourth Proportional to 930.19, 1,283.66 and 510.55

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Solution

The fourth proportional to 930.19, 1,283.66 and 510.55 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.19 : 1,283.66 = 510.55 : x
  2. Step 2: Convert to fraction form
    930.19/1,283.66 = 510.55/x
  3. Step 3: Cross multiply
    930.19x = 1,283.66 × 510.55
  4. Step 4: Simplify right side
    930.19x = 655,375.49
  5. Step 5: Solve for x
    x = 655,375.49/930.19
  6. Step 6: Final answer
    x = 704.56

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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.