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Finding the Fourth Proportional to 930.83, 1,284.13 and 576.65

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Solution

The fourth proportional to 930.83, 1,284.13 and 576.65 is: 795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.83 : 1,284.13 = 576.65 : x
  2. Step 2: Convert to fraction form
    930.83/1,284.13 = 576.65/x
  3. Step 3: Cross multiply
    930.83x = 1,284.13 × 576.65
  4. Step 4: Simplify right side
    930.83x = 740,497.50
  5. Step 5: Solve for x
    x = 740,497.50/930.83
  6. Step 6: Final answer
    x = 795.53

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1.5x scale

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.