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Finding the Fourth Proportional to 1,224.74, 1,690.16 and 665.22

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Solution

The fourth proportional to 1,224.74, 1,690.16 and 665.22 is: 918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.74 : 1,690.16 = 665.22 : x
  2. Step 2: Convert to fraction form
    1,224.74/1,690.16 = 665.22/x
  3. Step 3: Cross multiply
    1,224.74x = 1,690.16 × 665.22
  4. Step 4: Simplify right side
    1,224.74x = 1,124,316.46
  5. Step 5: Solve for x
    x = 1,124,316.46/1,224.74
  6. Step 6: Final answer
    x = 918.00

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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.