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Finding the Fourth Proportional to 498.60, 741.44 and 483.20

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Solution

The fourth proportional to 498.60, 741.44 and 483.20 is: 718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.60 : 741.44 = 483.20 : x
  2. Step 2: Convert to fraction form
    498.60/741.44 = 483.20/x
  3. Step 3: Cross multiply
    498.60x = 741.44 × 483.20
  4. Step 4: Simplify right side
    498.60x = 358,263.81
  5. Step 5: Solve for x
    x = 358,263.81/498.60
  6. Step 6: Final answer
    x = 718.54

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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.