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Finding the Fourth Proportional to 412.76, 570.48 and 365.78

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Solution

The fourth proportional to 412.76, 570.48 and 365.78 is: 505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 570.48 = 365.78 : x
  2. Step 2: Convert to fraction form
    412.76/570.48 = 365.78/x
  3. Step 3: Cross multiply
    412.76x = 570.48 × 365.78
  4. Step 4: Simplify right side
    412.76x = 208,670.17
  5. Step 5: Solve for x
    x = 208,670.17/412.76
  6. Step 6: Final answer
    x = 505.55

Related Problems

Find fourth proportional to 206.38, 285.24 and 182.89
Half scale
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Double scale
Find fourth proportional to 413.76, 571.86 and 366.78
Similar ratio
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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.