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Finding the Fourth Proportional to 930.39, 1,283.88 and 510.66

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Solution

The fourth proportional to 930.39, 1,283.88 and 510.66 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.39 : 1,283.88 = 510.66 : x
  2. Step 2: Convert to fraction form
    930.39/1,283.88 = 510.66/x
  3. Step 3: Cross multiply
    930.39x = 1,283.88 × 510.66
  4. Step 4: Simplify right side
    930.39x = 655,626.16
  5. Step 5: Solve for x
    x = 655,626.16/930.39
  6. Step 6: Final answer
    x = 704.68

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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.