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Finding the Fourth Proportional to 520.47, 780.71 and 443.52

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Solution

The fourth proportional to 520.47, 780.71 and 443.52 is: 665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 780.71 = 443.52 : x
  2. Step 2: Convert to fraction form
    520.47/780.71 = 443.52/x
  3. Step 3: Cross multiply
    520.47x = 780.71 × 443.52
  4. Step 4: Simplify right side
    520.47x = 346,258.28
  5. Step 5: Solve for x
    x = 346,258.28/520.47
  6. Step 6: Final answer
    x = 665.28

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Double scale
Find fourth proportional to 521.47, 782.21 and 444.52
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.