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Finding the Fourth Proportional to 622.12, 932.10 and 313.24

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Solution

The fourth proportional to 622.12, 932.10 and 313.24 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.12 : 932.10 = 313.24 : x
  2. Step 2: Convert to fraction form
    622.12/932.10 = 313.24/x
  3. Step 3: Cross multiply
    622.12x = 932.10 × 313.24
  4. Step 4: Simplify right side
    622.12x = 291,971.00
  5. Step 5: Solve for x
    x = 291,971.00/622.12
  6. Step 6: Final answer
    x = 469.32

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1.5x scale

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.