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Finding the Fourth Proportional to 514.96, 772.58 and 258.28

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Solution

The fourth proportional to 514.96, 772.58 and 258.28 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 772.58 = 258.28 : x
  2. Step 2: Convert to fraction form
    514.96/772.58 = 258.28/x
  3. Step 3: Cross multiply
    514.96x = 772.58 × 258.28
  4. Step 4: Simplify right side
    514.96x = 199,541.96
  5. Step 5: Solve for x
    x = 199,541.96/514.96
  6. Step 6: Final answer
    x = 387.49

Related Problems

Find fourth proportional to 257.48, 386.29 and 129.14
Half scale
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Double scale
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Similar ratio
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1.5x scale

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.