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Finding the Fourth Proportional to 508.66, 760.01 and 376.32

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Solution

The fourth proportional to 508.66, 760.01 and 376.32 is: 562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.66 : 760.01 = 376.32 : x
  2. Step 2: Convert to fraction form
    508.66/760.01 = 376.32/x
  3. Step 3: Cross multiply
    508.66x = 760.01 × 376.32
  4. Step 4: Simplify right side
    508.66x = 286,007.93
  5. Step 5: Solve for x
    x = 286,007.93/508.66
  6. Step 6: Final answer
    x = 562.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.