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Finding the Fourth Proportional to 746.79, 1,030.48 and 480.84

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Solution

The fourth proportional to 746.79, 1,030.48 and 480.84 is: 663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.79 : 1,030.48 = 480.84 : x
  2. Step 2: Convert to fraction form
    746.79/1,030.48 = 480.84/x
  3. Step 3: Cross multiply
    746.79x = 1,030.48 × 480.84
  4. Step 4: Simplify right side
    746.79x = 495,496.00
  5. Step 5: Solve for x
    x = 495,496.00/746.79
  6. Step 6: Final answer
    x = 663.50

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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.