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Finding the Fourth Proportional to 930.75, 1,284.08 and 594.78

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Solution

The fourth proportional to 930.75, 1,284.08 and 594.78 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.75 : 1,284.08 = 594.78 : x
  2. Step 2: Convert to fraction form
    930.75/1,284.08 = 594.78/x
  3. Step 3: Cross multiply
    930.75x = 1,284.08 × 594.78
  4. Step 4: Simplify right side
    930.75x = 763,742.13
  5. Step 5: Solve for x
    x = 763,742.13/930.75
  6. Step 6: Final answer
    x = 820.57

Related Problems

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Half scale
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Double scale
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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.