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Finding the Fourth Proportional to 487.50, 672.75 and 313.08

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Solution

The fourth proportional to 487.50, 672.75 and 313.08 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.50 : 672.75 = 313.08 : x
  2. Step 2: Convert to fraction form
    487.50/672.75 = 313.08/x
  3. Step 3: Cross multiply
    487.50x = 672.75 × 313.08
  4. Step 4: Simplify right side
    487.50x = 210,624.57
  5. Step 5: Solve for x
    x = 210,624.57/487.50
  6. Step 6: Final answer
    x = 432.05

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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.