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Finding the Fourth Proportional to 1,102.40, 1,653.96 and 615.86

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Solution

The fourth proportional to 1,102.40, 1,653.96 and 615.86 is: 923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.40 : 1,653.96 = 615.86 : x
  2. Step 2: Convert to fraction form
    1,102.40/1,653.96 = 615.86/x
  3. Step 3: Cross multiply
    1,102.40x = 1,653.96 × 615.86
  4. Step 4: Simplify right side
    1,102.40x = 1,018,607.81
  5. Step 5: Solve for x
    x = 1,018,607.81/1,102.40
  6. Step 6: Final answer
    x = 923.99

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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.