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Finding the Fourth Proportional to 1,051.40, 1,569.76 and 947.72

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Solution

The fourth proportional to 1,051.40, 1,569.76 and 947.72 is: 1,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.40 : 1,569.76 = 947.72 : x
  2. Step 2: Convert to fraction form
    1,051.40/1,569.76 = 947.72/x
  3. Step 3: Cross multiply
    1,051.40x = 1,569.76 × 947.72
  4. Step 4: Simplify right side
    1,051.40x = 1,487,692.95
  5. Step 5: Solve for x
    x = 1,487,692.95/1,051.40
  6. Step 6: Final answer
    x = 1,414.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.