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Finding the Fourth Proportional to 1,009.66, 1,390.44 and 947.14

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Solution

The fourth proportional to 1,009.66, 1,390.44 and 947.14 is: 1,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.66 : 1,390.44 = 947.14 : x
  2. Step 2: Convert to fraction form
    1,009.66/1,390.44 = 947.14/x
  3. Step 3: Cross multiply
    1,009.66x = 1,390.44 × 947.14
  4. Step 4: Simplify right side
    1,009.66x = 1,316,941.34
  5. Step 5: Solve for x
    x = 1,316,941.34/1,009.66
  6. Step 6: Final answer
    x = 1,304.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.