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Finding the Fourth Proportional to 622.40, 858.99 and 456.67

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Solution

The fourth proportional to 622.40, 858.99 and 456.67 is: 630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 858.99 = 456.67 : x
  2. Step 2: Convert to fraction form
    622.40/858.99 = 456.67/x
  3. Step 3: Cross multiply
    622.40x = 858.99 × 456.67
  4. Step 4: Simplify right side
    622.40x = 392,275.18
  5. Step 5: Solve for x
    x = 392,275.18/622.40
  6. Step 6: Final answer
    x = 630.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.