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Finding the Fourth Proportional to 904.58, 1,248.56 and 590.64

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Solution

The fourth proportional to 904.58, 1,248.56 and 590.64 is: 815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.58 : 1,248.56 = 590.64 : x
  2. Step 2: Convert to fraction form
    904.58/1,248.56 = 590.64/x
  3. Step 3: Cross multiply
    904.58x = 1,248.56 × 590.64
  4. Step 4: Simplify right side
    904.58x = 737,449.48
  5. Step 5: Solve for x
    x = 737,449.48/904.58
  6. Step 6: Final answer
    x = 815.24

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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.