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Finding the Fourth Proportional to 1,203.57, 1,660.91 and 651.57

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Solution

The fourth proportional to 1,203.57, 1,660.91 and 651.57 is: 899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.57 : 1,660.91 = 651.57 : x
  2. Step 2: Convert to fraction form
    1,203.57/1,660.91 = 651.57/x
  3. Step 3: Cross multiply
    1,203.57x = 1,660.91 × 651.57
  4. Step 4: Simplify right side
    1,203.57x = 1,082,199.13
  5. Step 5: Solve for x
    x = 1,082,199.13/1,203.57
  6. Step 6: Final answer
    x = 899.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.