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Finding the Fourth Proportional to 557.46, 768.78 and 360.75

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Solution

The fourth proportional to 557.46, 768.78 and 360.75 is: 497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 768.78 = 360.75 : x
  2. Step 2: Convert to fraction form
    557.46/768.78 = 360.75/x
  3. Step 3: Cross multiply
    557.46x = 768.78 × 360.75
  4. Step 4: Simplify right side
    557.46x = 277,337.39
  5. Step 5: Solve for x
    x = 277,337.39/557.46
  6. Step 6: Final answer
    x = 497.50

Related Problems

Find fourth proportional to 278.73, 384.39 and 180.38
Half scale
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Double scale
Find fourth proportional to 558.46, 770.16 and 361.75
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.