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Finding the Fourth Proportional to 521.78, 782.51 and 175.03

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Solution

The fourth proportional to 521.78, 782.51 and 175.03 is: 262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.78 : 782.51 = 175.03 : x
  2. Step 2: Convert to fraction form
    521.78/782.51 = 175.03/x
  3. Step 3: Cross multiply
    521.78x = 782.51 × 175.03
  4. Step 4: Simplify right side
    521.78x = 136,962.73
  5. Step 5: Solve for x
    x = 136,962.73/521.78
  6. Step 6: Final answer
    x = 262.49

Related Problems

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Double scale
Find fourth proportional to 522.78, 784.01 and 176.03
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.