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Finding the Fourth Proportional to 478.77, 719.64 and 317.49

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Solution

The fourth proportional to 478.77, 719.64 and 317.49 is: 477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.77 : 719.64 = 317.49 : x
  2. Step 2: Convert to fraction form
    478.77/719.64 = 317.49/x
  3. Step 3: Cross multiply
    478.77x = 719.64 × 317.49
  4. Step 4: Simplify right side
    478.77x = 228,478.50
  5. Step 5: Solve for x
    x = 228,478.50/478.77
  6. Step 6: Final answer
    x = 477.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.