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Finding the Fourth Proportional to 910.54, 1,364.75 and 390.83

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Solution

The fourth proportional to 910.54, 1,364.75 and 390.83 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.54 : 1,364.75 = 390.83 : x
  2. Step 2: Convert to fraction form
    910.54/1,364.75 = 390.83/x
  3. Step 3: Cross multiply
    910.54x = 1,364.75 × 390.83
  4. Step 4: Simplify right side
    910.54x = 533,377.93
  5. Step 5: Solve for x
    x = 533,377.93/910.54
  6. Step 6: Final answer
    x = 585.78

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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.