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Finding the Fourth Proportional to 479.48, 719.95 and 456.32

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Solution

The fourth proportional to 479.48, 719.95 and 456.32 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.48 : 719.95 = 456.32 : x
  2. Step 2: Convert to fraction form
    479.48/719.95 = 456.32/x
  3. Step 3: Cross multiply
    479.48x = 719.95 × 456.32
  4. Step 4: Simplify right side
    479.48x = 328,527.58
  5. Step 5: Solve for x
    x = 328,527.58/479.48
  6. Step 6: Final answer
    x = 685.17

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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.