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Finding the Fourth Proportional to 746.40, 1,030.20 and 484.56

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Solution

The fourth proportional to 746.40, 1,030.20 and 484.56 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.40 : 1,030.20 = 484.56 : x
  2. Step 2: Convert to fraction form
    746.40/1,030.20 = 484.56/x
  3. Step 3: Cross multiply
    746.40x = 1,030.20 × 484.56
  4. Step 4: Simplify right side
    746.40x = 499,193.71
  5. Step 5: Solve for x
    x = 499,193.71/746.40
  6. Step 6: Final answer
    x = 668.80

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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.