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Finding the Fourth Proportional to 510.76, 704.82 and 324.28

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Solution

The fourth proportional to 510.76, 704.82 and 324.28 is: 447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.76 : 704.82 = 324.28 : x
  2. Step 2: Convert to fraction form
    510.76/704.82 = 324.28/x
  3. Step 3: Cross multiply
    510.76x = 704.82 × 324.28
  4. Step 4: Simplify right side
    510.76x = 228,559.03
  5. Step 5: Solve for x
    x = 228,559.03/510.76
  6. Step 6: Final answer
    x = 447.49

Related Problems

Find fourth proportional to 255.38, 352.41 and 162.14
Half scale
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Double scale
Find fourth proportional to 511.76, 706.20 and 325.28
Similar ratio
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1.5x scale

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.