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Finding the Fourth Proportional to 516, 777.88 and 508.32

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Solution

The fourth proportional to 516, 777.88 and 508.32 is: 766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 777.88 = 508.32 : x
  2. Step 2: Convert to fraction form
    516/777.88 = 508.32/x
  3. Step 3: Cross multiply
    516x = 777.88 × 508.32
  4. Step 4: Simplify right side
    516x = 395,411.96
  5. Step 5: Solve for x
    x = 395,411.96/516
  6. Step 6: Final answer
    x = 766.30

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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.