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Finding the Fourth Proportional to 515.24, 706.40 and 506.03

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Solution

The fourth proportional to 515.24, 706.40 and 506.03 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.24 : 706.40 = 506.03 : x
  2. Step 2: Convert to fraction form
    515.24/706.40 = 506.03/x
  3. Step 3: Cross multiply
    515.24x = 706.40 × 506.03
  4. Step 4: Simplify right side
    515.24x = 357,453.53
  5. Step 5: Solve for x
    x = 357,453.53/515.24
  6. Step 6: Final answer
    x = 693.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.