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Finding the Fourth Proportional to 622.93, 934.98 and 315.00

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Solution

The fourth proportional to 622.93, 934.98 and 315.00 is: 472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.93 : 934.98 = 315.00 : x
  2. Step 2: Convert to fraction form
    622.93/934.98 = 315.00/x
  3. Step 3: Cross multiply
    622.93x = 934.98 × 315.00
  4. Step 4: Simplify right side
    622.93x = 294,520.89
  5. Step 5: Solve for x
    x = 294,520.89/622.93
  6. Step 6: Final answer
    x = 472.80

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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.