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Finding the Fourth Proportional to 1,020.60, 1,407.92 and 666.35

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Solution

The fourth proportional to 1,020.60, 1,407.92 and 666.35 is: 919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.60 : 1,407.92 = 666.35 : x
  2. Step 2: Convert to fraction form
    1,020.60/1,407.92 = 666.35/x
  3. Step 3: Cross multiply
    1,020.60x = 1,407.92 × 666.35
  4. Step 4: Simplify right side
    1,020.60x = 938,164.16
  5. Step 5: Solve for x
    x = 938,164.16/1,020.60
  6. Step 6: Final answer
    x = 919.23

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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.