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Finding the Fourth Proportional to 498.36, 747.50 and 383.52

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Solution

The fourth proportional to 498.36, 747.50 and 383.52 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 747.50 = 383.52 : x
  2. Step 2: Convert to fraction form
    498.36/747.50 = 383.52/x
  3. Step 3: Cross multiply
    498.36x = 747.50 × 383.52
  4. Step 4: Simplify right side
    498.36x = 286,681.20
  5. Step 5: Solve for x
    x = 286,681.20/498.36
  6. Step 6: Final answer
    x = 575.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.