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Finding the Fourth Proportional to 659.04, 904.98 and 634.76

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Solution

The fourth proportional to 659.04, 904.98 and 634.76 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.04 : 904.98 = 634.76 : x
  2. Step 2: Convert to fraction form
    659.04/904.98 = 634.76/x
  3. Step 3: Cross multiply
    659.04x = 904.98 × 634.76
  4. Step 4: Simplify right side
    659.04x = 574,445.10
  5. Step 5: Solve for x
    x = 574,445.10/659.04
  6. Step 6: Final answer
    x = 871.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.