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Finding the Fourth Proportional to 468.76, 647.02 and 313.50

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Solution

The fourth proportional to 468.76, 647.02 and 313.50 is: 432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.76 : 647.02 = 313.50 : x
  2. Step 2: Convert to fraction form
    468.76/647.02 = 313.50/x
  3. Step 3: Cross multiply
    468.76x = 647.02 × 313.50
  4. Step 4: Simplify right side
    468.76x = 202,840.77
  5. Step 5: Solve for x
    x = 202,840.77/468.76
  6. Step 6: Final answer
    x = 432.72

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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.