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Finding the Fourth Proportional to 929.94, 1,395.09 and 409.74

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Solution

The fourth proportional to 929.94, 1,395.09 and 409.74 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.94 : 1,395.09 = 409.74 : x
  2. Step 2: Convert to fraction form
    929.94/1,395.09 = 409.74/x
  3. Step 3: Cross multiply
    929.94x = 1,395.09 × 409.74
  4. Step 4: Simplify right side
    929.94x = 571,624.18
  5. Step 5: Solve for x
    x = 571,624.18/929.94
  6. Step 6: Final answer
    x = 614.69

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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.