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Finding the Fourth Proportional to 1,051.41, 1,577.12 and 434.70

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Solution

The fourth proportional to 1,051.41, 1,577.12 and 434.70 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.41 : 1,577.12 = 434.70 : x
  2. Step 2: Convert to fraction form
    1,051.41/1,577.12 = 434.70/x
  3. Step 3: Cross multiply
    1,051.41x = 1,577.12 × 434.70
  4. Step 4: Simplify right side
    1,051.41x = 685,574.06
  5. Step 5: Solve for x
    x = 685,574.06/1,051.41
  6. Step 6: Final answer
    x = 652.05

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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.