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Finding the Fourth Proportional to 505.60, 753.20 and 490.48

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Solution

The fourth proportional to 505.60, 753.20 and 490.48 is: 730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 753.20 = 490.48 : x
  2. Step 2: Convert to fraction form
    505.60/753.20 = 490.48/x
  3. Step 3: Cross multiply
    505.60x = 753.20 × 490.48
  4. Step 4: Simplify right side
    505.60x = 369,429.54
  5. Step 5: Solve for x
    x = 369,429.54/505.60
  6. Step 6: Final answer
    x = 730.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.