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Finding the Fourth Proportional to 497.88, 747.63 and 412.02

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Solution

The fourth proportional to 497.88, 747.63 and 412.02 is: 618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 747.63 = 412.02 : x
  2. Step 2: Convert to fraction form
    497.88/747.63 = 412.02/x
  3. Step 3: Cross multiply
    497.88x = 747.63 × 412.02
  4. Step 4: Simplify right side
    497.88x = 308,038.51
  5. Step 5: Solve for x
    x = 308,038.51/497.88
  6. Step 6: Final answer
    x = 618.70

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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.