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Finding the Fourth Proportional to 487.06, 671.55 and 312.23

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Solution

The fourth proportional to 487.06, 671.55 and 312.23 is: 430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.06 : 671.55 = 312.23 : x
  2. Step 2: Convert to fraction form
    487.06/671.55 = 312.23/x
  3. Step 3: Cross multiply
    487.06x = 671.55 × 312.23
  4. Step 4: Simplify right side
    487.06x = 209,678.06
  5. Step 5: Solve for x
    x = 209,678.06/487.06
  6. Step 6: Final answer
    x = 430.50

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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.