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Finding the Fourth Proportional to 1,062.64, 1,466.40 and 620.56

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Solution

The fourth proportional to 1,062.64, 1,466.40 and 620.56 is: 856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.64 : 1,466.40 = 620.56 : x
  2. Step 2: Convert to fraction form
    1,062.64/1,466.40 = 620.56/x
  3. Step 3: Cross multiply
    1,062.64x = 1,466.40 × 620.56
  4. Step 4: Simplify right side
    1,062.64x = 909,989.18
  5. Step 5: Solve for x
    x = 909,989.18/1,062.64
  6. Step 6: Final answer
    x = 856.35

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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.