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Finding the Fourth Proportional to 509.42, 760.88 and 460.58

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Solution

The fourth proportional to 509.42, 760.88 and 460.58 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 760.88 = 460.58 : x
  2. Step 2: Convert to fraction form
    509.42/760.88 = 460.58/x
  3. Step 3: Cross multiply
    509.42x = 760.88 × 460.58
  4. Step 4: Simplify right side
    509.42x = 350,445.71
  5. Step 5: Solve for x
    x = 350,445.71/509.42
  6. Step 6: Final answer
    x = 687.94

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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.