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Finding the Fourth Proportional to 1,051.07, 1,577.31 and 434.76

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Solution

The fourth proportional to 1,051.07, 1,577.31 and 434.76 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.07 : 1,577.31 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,051.07/1,577.31 = 434.76/x
  3. Step 3: Cross multiply
    1,051.07x = 1,577.31 × 434.76
  4. Step 4: Simplify right side
    1,051.07x = 685,751.30
  5. Step 5: Solve for x
    x = 685,751.30/1,051.07
  6. Step 6: Final answer
    x = 652.43

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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.