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Finding the Fourth Proportional to 1,051.50, 1,577.34 and 282

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Solution

The fourth proportional to 1,051.50, 1,577.34 and 282 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.50 : 1,577.34 = 282 : x
  2. Step 2: Convert to fraction form
    1,051.50/1,577.34 = 282/x
  3. Step 3: Cross multiply
    1,051.50x = 1,577.34 × 282
  4. Step 4: Simplify right side
    1,051.50x = 444,809.88
  5. Step 5: Solve for x
    x = 444,809.88/1,051.50
  6. Step 6: Final answer
    x = 423.02

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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.