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Finding the Fourth Proportional to 622.30, 931.29 and 430.06

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Solution

The fourth proportional to 622.30, 931.29 and 430.06 is: 643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.30 : 931.29 = 430.06 : x
  2. Step 2: Convert to fraction form
    622.30/931.29 = 430.06/x
  3. Step 3: Cross multiply
    622.30x = 931.29 × 430.06
  4. Step 4: Simplify right side
    622.30x = 400,510.58
  5. Step 5: Solve for x
    x = 400,510.58/622.30
  6. Step 6: Final answer
    x = 643.60

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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.