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Finding the Fourth Proportional to 1,207.06, 1,665.74 and 655.06

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Solution

The fourth proportional to 1,207.06, 1,665.74 and 655.06 is: 903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.06 : 1,665.74 = 655.06 : x
  2. Step 2: Convert to fraction form
    1,207.06/1,665.74 = 655.06/x
  3. Step 3: Cross multiply
    1,207.06x = 1,665.74 × 655.06
  4. Step 4: Simplify right side
    1,207.06x = 1,091,159.64
  5. Step 5: Solve for x
    x = 1,091,159.64/1,207.06
  6. Step 6: Final answer
    x = 903.98

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1.5x scale

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.