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Finding the Fourth Proportional to 518.76, 714.24 and 463.28

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Solution

The fourth proportional to 518.76, 714.24 and 463.28 is: 637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 714.24 = 463.28 : x
  2. Step 2: Convert to fraction form
    518.76/714.24 = 463.28/x
  3. Step 3: Cross multiply
    518.76x = 714.24 × 463.28
  4. Step 4: Simplify right side
    518.76x = 330,893.11
  5. Step 5: Solve for x
    x = 330,893.11/518.76
  6. Step 6: Final answer
    x = 637.85

Related Problems

Find fourth proportional to 259.38, 357.12 and 231.64
Half scale
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Double scale
Find fourth proportional to 519.76, 715.62 and 464.28
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.