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Finding the Fourth Proportional to 1,001.71, 1,492.49 and 945.82

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Solution

The fourth proportional to 1,001.71, 1,492.49 and 945.82 is: 1,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.71 : 1,492.49 = 945.82 : x
  2. Step 2: Convert to fraction form
    1,001.71/1,492.49 = 945.82/x
  3. Step 3: Cross multiply
    1,001.71x = 1,492.49 × 945.82
  4. Step 4: Simplify right side
    1,001.71x = 1,411,626.89
  5. Step 5: Solve for x
    x = 1,411,626.89/1,001.71
  6. Step 6: Final answer
    x = 1,409.22

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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.