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Finding the Fourth Proportional to 1,039.60, 1,434.04 and 666.45

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Solution

The fourth proportional to 1,039.60, 1,434.04 and 666.45 is: 919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.60 : 1,434.04 = 666.45 : x
  2. Step 2: Convert to fraction form
    1,039.60/1,434.04 = 666.45/x
  3. Step 3: Cross multiply
    1,039.60x = 1,434.04 × 666.45
  4. Step 4: Simplify right side
    1,039.60x = 955,715.96
  5. Step 5: Solve for x
    x = 955,715.96/1,039.60
  6. Step 6: Final answer
    x = 919.31

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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.