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Finding the Fourth Proportional to 519.47, 782.77 and 430.17

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Solution

The fourth proportional to 519.47, 782.77 and 430.17 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.47 : 782.77 = 430.17 : x
  2. Step 2: Convert to fraction form
    519.47/782.77 = 430.17/x
  3. Step 3: Cross multiply
    519.47x = 782.77 × 430.17
  4. Step 4: Simplify right side
    519.47x = 336,724.17
  5. Step 5: Solve for x
    x = 336,724.17/519.47
  6. Step 6: Final answer
    x = 648.21

Related Problems

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.