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Finding the Fourth Proportional to 527.04, 788.40 and 440.64

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Solution

The fourth proportional to 527.04, 788.40 and 440.64 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.04 : 788.40 = 440.64 : x
  2. Step 2: Convert to fraction form
    527.04/788.40 = 440.64/x
  3. Step 3: Cross multiply
    527.04x = 788.40 × 440.64
  4. Step 4: Simplify right side
    527.04x = 347,400.58
  5. Step 5: Solve for x
    x = 347,400.58/527.04
  6. Step 6: Final answer
    x = 659.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.