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Finding the Fourth Proportional to 659.76, 910.08 and 427.02

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Solution

The fourth proportional to 659.76, 910.08 and 427.02 is: 589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 910.08 = 427.02 : x
  2. Step 2: Convert to fraction form
    659.76/910.08 = 427.02/x
  3. Step 3: Cross multiply
    659.76x = 910.08 × 427.02
  4. Step 4: Simplify right side
    659.76x = 388,622.36
  5. Step 5: Solve for x
    x = 388,622.36/659.76
  6. Step 6: Final answer
    x = 589.04

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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.