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Finding the Fourth Proportional to 930.78, 1,284.48 and 511.14

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Solution

The fourth proportional to 930.78, 1,284.48 and 511.14 is: 705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,284.48 = 511.14 : x
  2. Step 2: Convert to fraction form
    930.78/1,284.48 = 511.14/x
  3. Step 3: Cross multiply
    930.78x = 1,284.48 × 511.14
  4. Step 4: Simplify right side
    930.78x = 656,549.11
  5. Step 5: Solve for x
    x = 656,549.11/930.78
  6. Step 6: Final answer
    x = 705.38

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.