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Finding the Fourth Proportional to 518.76, 715.46 and 322.16

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Solution

The fourth proportional to 518.76, 715.46 and 322.16 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 715.46 = 322.16 : x
  2. Step 2: Convert to fraction form
    518.76/715.46 = 322.16/x
  3. Step 3: Cross multiply
    518.76x = 715.46 × 322.16
  4. Step 4: Simplify right side
    518.76x = 230,492.59
  5. Step 5: Solve for x
    x = 230,492.59/518.76
  6. Step 6: Final answer
    x = 444.31

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Find fourth proportional to 259.38, 357.73 and 161.08
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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.