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Finding the Fourth Proportional to 1,627.90, 2,442.53 and 653.76

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Solution

The fourth proportional to 1,627.90, 2,442.53 and 653.76 is: 980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.90 : 2,442.53 = 653.76 : x
  2. Step 2: Convert to fraction form
    1,627.90/2,442.53 = 653.76/x
  3. Step 3: Cross multiply
    1,627.90x = 2,442.53 × 653.76
  4. Step 4: Simplify right side
    1,627.90x = 1,596,830.05
  5. Step 5: Solve for x
    x = 1,596,830.05/1,627.90
  6. Step 6: Final answer
    x = 980.92

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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.