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Finding the Fourth Proportional to 1,225.02, 1,690.52 and 665.48

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Solution

The fourth proportional to 1,225.02, 1,690.52 and 665.48 is: 918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.02 : 1,690.52 = 665.48 : x
  2. Step 2: Convert to fraction form
    1,225.02/1,690.52 = 665.48/x
  3. Step 3: Cross multiply
    1,225.02x = 1,690.52 × 665.48
  4. Step 4: Simplify right side
    1,225.02x = 1,125,007.25
  5. Step 5: Solve for x
    x = 1,125,007.25/1,225.02
  6. Step 6: Final answer
    x = 918.36

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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.