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Finding the Fourth Proportional to 1,051.40, 1,576.78 and 357.95

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Solution

The fourth proportional to 1,051.40, 1,576.78 and 357.95 is: 536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.40 : 1,576.78 = 357.95 : x
  2. Step 2: Convert to fraction form
    1,051.40/1,576.78 = 357.95/x
  3. Step 3: Cross multiply
    1,051.40x = 1,576.78 × 357.95
  4. Step 4: Simplify right side
    1,051.40x = 564,411.45
  5. Step 5: Solve for x
    x = 564,411.45/1,051.40
  6. Step 6: Final answer
    x = 536.82

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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.