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Finding the Fourth Proportional to 930.19, 1,395.13 and 345.05

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Solution

The fourth proportional to 930.19, 1,395.13 and 345.05 is: 517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.19 : 1,395.13 = 345.05 : x
  2. Step 2: Convert to fraction form
    930.19/1,395.13 = 345.05/x
  3. Step 3: Cross multiply
    930.19x = 1,395.13 × 345.05
  4. Step 4: Simplify right side
    930.19x = 481,386.14
  5. Step 5: Solve for x
    x = 481,386.14/930.19
  6. Step 6: Final answer
    x = 517.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.