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Finding the Fourth Proportional to 910.21, 1,365.30 and 390.55

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Solution

The fourth proportional to 910.21, 1,365.30 and 390.55 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.21 : 1,365.30 = 390.55 : x
  2. Step 2: Convert to fraction form
    910.21/1,365.30 = 390.55/x
  3. Step 3: Cross multiply
    910.21x = 1,365.30 × 390.55
  4. Step 4: Simplify right side
    910.21x = 533,217.92
  5. Step 5: Solve for x
    x = 533,217.92/910.21
  6. Step 6: Final answer
    x = 585.82

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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.