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Finding the Fourth Proportional to 670.17, 924.99 and 496.83

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Solution

The fourth proportional to 670.17, 924.99 and 496.83 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.17 : 924.99 = 496.83 : x
  2. Step 2: Convert to fraction form
    670.17/924.99 = 496.83/x
  3. Step 3: Cross multiply
    670.17x = 924.99 × 496.83
  4. Step 4: Simplify right side
    670.17x = 459,564.39
  5. Step 5: Solve for x
    x = 459,564.39/670.17
  6. Step 6: Final answer
    x = 685.74

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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.