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Finding the Fourth Proportional to 625.61, 936.74 and 509.58

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Solution

The fourth proportional to 625.61, 936.74 and 509.58 is: 763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.61 : 936.74 = 509.58 : x
  2. Step 2: Convert to fraction form
    625.61/936.74 = 509.58/x
  3. Step 3: Cross multiply
    625.61x = 936.74 × 509.58
  4. Step 4: Simplify right side
    625.61x = 477,341.42
  5. Step 5: Solve for x
    x = 477,341.42/625.61
  6. Step 6: Final answer
    x = 763.00

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Why These Related Problems?

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