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Finding the Fourth Proportional to 622.76, 858.95 and 401.60

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Solution

The fourth proportional to 622.76, 858.95 and 401.60 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.76 : 858.95 = 401.60 : x
  2. Step 2: Convert to fraction form
    622.76/858.95 = 401.60/x
  3. Step 3: Cross multiply
    622.76x = 858.95 × 401.60
  4. Step 4: Simplify right side
    622.76x = 344,948.02
  5. Step 5: Solve for x
    x = 344,948.02/622.76
  6. Step 6: Final answer
    x = 553.91

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1.5x scale

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.