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Finding the Fourth Proportional to 1,348.89, 2,023.53 and 655.60

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Solution

The fourth proportional to 1,348.89, 2,023.53 and 655.60 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.89 : 2,023.53 = 655.60 : x
  2. Step 2: Convert to fraction form
    1,348.89/2,023.53 = 655.60/x
  3. Step 3: Cross multiply
    1,348.89x = 2,023.53 × 655.60
  4. Step 4: Simplify right side
    1,348.89x = 1,326,631.26
  5. Step 5: Solve for x
    x = 1,326,631.26/1,348.89
  6. Step 6: Final answer
    x = 983.50

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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.