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Finding the Fourth Proportional to 566.76, 782.74 and 390.18

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Solution

The fourth proportional to 566.76, 782.74 and 390.18 is: 538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 782.74 = 390.18 : x
  2. Step 2: Convert to fraction form
    566.76/782.74 = 390.18/x
  3. Step 3: Cross multiply
    566.76x = 782.74 × 390.18
  4. Step 4: Simplify right side
    566.76x = 305,409.49
  5. Step 5: Solve for x
    x = 305,409.49/566.76
  6. Step 6: Final answer
    x = 538.87

Related Problems

Find fourth proportional to 283.38, 391.37 and 195.09
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Double scale
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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.