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Finding the Fourth Proportional to 910.14, 1,365.21 and 423.60

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Solution

The fourth proportional to 910.14, 1,365.21 and 423.60 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.14 : 1,365.21 = 423.60 : x
  2. Step 2: Convert to fraction form
    910.14/1,365.21 = 423.60/x
  3. Step 3: Cross multiply
    910.14x = 1,365.21 × 423.60
  4. Step 4: Simplify right side
    910.14x = 578,302.96
  5. Step 5: Solve for x
    x = 578,302.96/910.14
  6. Step 6: Final answer
    x = 635.40

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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.