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Finding the Fourth Proportional to 566.19, 780.57 and 433.49

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Solution

The fourth proportional to 566.19, 780.57 and 433.49 is: 597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 780.57 = 433.49 : x
  2. Step 2: Convert to fraction form
    566.19/780.57 = 433.49/x
  3. Step 3: Cross multiply
    566.19x = 780.57 × 433.49
  4. Step 4: Simplify right side
    566.19x = 338,365.39
  5. Step 5: Solve for x
    x = 338,365.39/566.19
  6. Step 6: Final answer
    x = 597.62

Related Problems

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Half scale
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Double scale
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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.