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Finding the Fourth Proportional to 519.60, 715.59 and 508.26

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Solution

The fourth proportional to 519.60, 715.59 and 508.26 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 715.59 = 508.26 : x
  2. Step 2: Convert to fraction form
    519.60/715.59 = 508.26/x
  3. Step 3: Cross multiply
    519.60x = 715.59 × 508.26
  4. Step 4: Simplify right side
    519.60x = 363,705.77
  5. Step 5: Solve for x
    x = 363,705.77/519.60
  6. Step 6: Final answer
    x = 699.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.