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Finding the Fourth Proportional to 659.83, 983.94 and 606.64

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Solution

The fourth proportional to 659.83, 983.94 and 606.64 is: 904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.83 : 983.94 = 606.64 : x
  2. Step 2: Convert to fraction form
    659.83/983.94 = 606.64/x
  3. Step 3: Cross multiply
    659.83x = 983.94 × 606.64
  4. Step 4: Simplify right side
    659.83x = 596,897.36
  5. Step 5: Solve for x
    x = 596,897.36/659.83
  6. Step 6: Final answer
    x = 904.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.