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Finding the Fourth Proportional to 1,026.49, 1,539.74 and 256.99

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Solution

The fourth proportional to 1,026.49, 1,539.74 and 256.99 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.49 : 1,539.74 = 256.99 : x
  2. Step 2: Convert to fraction form
    1,026.49/1,539.74 = 256.99/x
  3. Step 3: Cross multiply
    1,026.49x = 1,539.74 × 256.99
  4. Step 4: Simplify right side
    1,026.49x = 395,697.78
  5. Step 5: Solve for x
    x = 395,697.78/1,026.49
  6. Step 6: Final answer
    x = 385.49

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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.