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Finding the Fourth Proportional to 1,103.12, 1,646.58 and 1,023

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Solution

The fourth proportional to 1,103.12, 1,646.58 and 1,023 is: 1,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.12 : 1,646.58 = 1,023 : x
  2. Step 2: Convert to fraction form
    1,103.12/1,646.58 = 1,023/x
  3. Step 3: Cross multiply
    1,103.12x = 1,646.58 × 1,023
  4. Step 4: Simplify right side
    1,103.12x = 1,684,451.34
  5. Step 5: Solve for x
    x = 1,684,451.34/1,103.12
  6. Step 6: Final answer
    x = 1,526.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.