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Finding the Fourth Proportional to 515.40, 772.50 and 284.02

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Solution

The fourth proportional to 515.40, 772.50 and 284.02 is: 425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.40 : 772.50 = 284.02 : x
  2. Step 2: Convert to fraction form
    515.40/772.50 = 284.02/x
  3. Step 3: Cross multiply
    515.40x = 772.50 × 284.02
  4. Step 4: Simplify right side
    515.40x = 219,405.45
  5. Step 5: Solve for x
    x = 219,405.45/515.40
  6. Step 6: Final answer
    x = 425.70

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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.