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Finding the Fourth Proportional to 1,107.32, 1,662.02 and 587.93

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Solution

The fourth proportional to 1,107.32, 1,662.02 and 587.93 is: 882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.32 : 1,662.02 = 587.93 : x
  2. Step 2: Convert to fraction form
    1,107.32/1,662.02 = 587.93/x
  3. Step 3: Cross multiply
    1,107.32x = 1,662.02 × 587.93
  4. Step 4: Simplify right side
    1,107.32x = 977,151.42
  5. Step 5: Solve for x
    x = 977,151.42/1,107.32
  6. Step 6: Final answer
    x = 882.45

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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.