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Finding the Fourth Proportional to 1,102.37, 1,653.60 and 615.05

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Solution

The fourth proportional to 1,102.37, 1,653.60 and 615.05 is: 922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.37 : 1,653.60 = 615.05 : x
  2. Step 2: Convert to fraction form
    1,102.37/1,653.60 = 615.05/x
  3. Step 3: Cross multiply
    1,102.37x = 1,653.60 × 615.05
  4. Step 4: Simplify right side
    1,102.37x = 1,017,038.41
  5. Step 5: Solve for x
    x = 1,017,038.41/1,102.37
  6. Step 6: Final answer
    x = 922.60

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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.