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Finding the Fourth Proportional to 710.83, 980.35 and 462.03

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Solution

The fourth proportional to 710.83, 980.35 and 462.03 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.83 : 980.35 = 462.03 : x
  2. Step 2: Convert to fraction form
    710.83/980.35 = 462.03/x
  3. Step 3: Cross multiply
    710.83x = 980.35 × 462.03
  4. Step 4: Simplify right side
    710.83x = 452,951.11
  5. Step 5: Solve for x
    x = 452,951.11/710.83
  6. Step 6: Final answer
    x = 637.21

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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.