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Finding the Fourth Proportional to 519.17, 778.53 and 259.07

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Solution

The fourth proportional to 519.17, 778.53 and 259.07 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.17 : 778.53 = 259.07 : x
  2. Step 2: Convert to fraction form
    519.17/778.53 = 259.07/x
  3. Step 3: Cross multiply
    519.17x = 778.53 × 259.07
  4. Step 4: Simplify right side
    519.17x = 201,695.71
  5. Step 5: Solve for x
    x = 201,695.71/519.17
  6. Step 6: Final answer
    x = 388.50

Related Problems

Find fourth proportional to 259.58, 389.27 and 129.54
Half scale
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Double scale
Find fourth proportional to 520.17, 780.03 and 260.07
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.