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Finding the Fourth Proportional to 515.21, 706.19 and 508.01

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Solution

The fourth proportional to 515.21, 706.19 and 508.01 is: 696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.21 : 706.19 = 508.01 : x
  2. Step 2: Convert to fraction form
    515.21/706.19 = 508.01/x
  3. Step 3: Cross multiply
    515.21x = 706.19 × 508.01
  4. Step 4: Simplify right side
    515.21x = 358,745.51
  5. Step 5: Solve for x
    x = 358,745.51/515.21
  6. Step 6: Final answer
    x = 696.32

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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.