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Finding the Fourth Proportional to 504.20, 759.02 and 458.84

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Solution

The fourth proportional to 504.20, 759.02 and 458.84 is: 690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 759.02 = 458.84 : x
  2. Step 2: Convert to fraction form
    504.20/759.02 = 458.84/x
  3. Step 3: Cross multiply
    504.20x = 759.02 × 458.84
  4. Step 4: Simplify right side
    504.20x = 348,268.74
  5. Step 5: Solve for x
    x = 348,268.74/504.20
  6. Step 6: Final answer
    x = 690.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.