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Finding the Fourth Proportional to 674.19, 931.23 and 497.48

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Solution

The fourth proportional to 674.19, 931.23 and 497.48 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 931.23 = 497.48 : x
  2. Step 2: Convert to fraction form
    674.19/931.23 = 497.48/x
  3. Step 3: Cross multiply
    674.19x = 931.23 × 497.48
  4. Step 4: Simplify right side
    674.19x = 463,263.64
  5. Step 5: Solve for x
    x = 463,263.64/674.19
  6. Step 6: Final answer
    x = 687.14

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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.