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Finding the Fourth Proportional to 509.64, 760.88 and 478.74

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Solution

The fourth proportional to 509.64, 760.88 and 478.74 is: 714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 760.88 = 478.74 : x
  2. Step 2: Convert to fraction form
    509.64/760.88 = 478.74/x
  3. Step 3: Cross multiply
    509.64x = 760.88 × 478.74
  4. Step 4: Simplify right side
    509.64x = 364,261.30
  5. Step 5: Solve for x
    x = 364,261.30/509.64
  6. Step 6: Final answer
    x = 714.74

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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.