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Finding the Fourth Proportional to 682.67, 942.88 and 497.00

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Solution

The fourth proportional to 682.67, 942.88 and 497.00 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.67 : 942.88 = 497.00 : x
  2. Step 2: Convert to fraction form
    682.67/942.88 = 497.00/x
  3. Step 3: Cross multiply
    682.67x = 942.88 × 497.00
  4. Step 4: Simplify right side
    682.67x = 468,605.40
  5. Step 5: Solve for x
    x = 468,605.40/682.67
  6. Step 6: Final answer
    x = 686.43

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1.5x scale

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.