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Finding the Fourth Proportional to 1,392.42, 2,088.89 and 467.99

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Solution

The fourth proportional to 1,392.42, 2,088.89 and 467.99 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.42 : 2,088.89 = 467.99 : x
  2. Step 2: Convert to fraction form
    1,392.42/2,088.89 = 467.99/x
  3. Step 3: Cross multiply
    1,392.42x = 2,088.89 × 467.99
  4. Step 4: Simplify right side
    1,392.42x = 977,569.19
  5. Step 5: Solve for x
    x = 977,569.19/1,392.42
  6. Step 6: Final answer
    x = 702.07

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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.