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Finding the Fourth Proportional to 521.37, 782.34 and 290.23

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Solution

The fourth proportional to 521.37, 782.34 and 290.23 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.37 : 782.34 = 290.23 : x
  2. Step 2: Convert to fraction form
    521.37/782.34 = 290.23/x
  3. Step 3: Cross multiply
    521.37x = 782.34 × 290.23
  4. Step 4: Simplify right side
    521.37x = 227,058.54
  5. Step 5: Solve for x
    x = 227,058.54/521.37
  6. Step 6: Final answer
    x = 435.50

Related Problems

Find fourth proportional to 260.69, 391.17 and 145.12
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Double scale
Find fourth proportional to 522.37, 783.84 and 291.23
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.