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Finding the Fourth Proportional to 623.58, 934.65 and 508.25

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Solution

The fourth proportional to 623.58, 934.65 and 508.25 is: 761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.58 : 934.65 = 508.25 : x
  2. Step 2: Convert to fraction form
    623.58/934.65 = 508.25/x
  3. Step 3: Cross multiply
    623.58x = 934.65 × 508.25
  4. Step 4: Simplify right side
    623.58x = 475,031.19
  5. Step 5: Solve for x
    x = 475,031.19/623.58
  6. Step 6: Final answer
    x = 761.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.