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Finding the Fourth Proportional to 497.10, 685.69 and 320.00

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Solution

The fourth proportional to 497.10, 685.69 and 320.00 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 685.69 = 320.00 : x
  2. Step 2: Convert to fraction form
    497.10/685.69 = 320.00/x
  3. Step 3: Cross multiply
    497.10x = 685.69 × 320.00
  4. Step 4: Simplify right side
    497.10x = 219,421.71
  5. Step 5: Solve for x
    x = 219,421.71/497.10
  6. Step 6: Final answer
    x = 441.40

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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.