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Finding the Fourth Proportional to 1,402.93, 2,104.67 and 429.17

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Solution

The fourth proportional to 1,402.93, 2,104.67 and 429.17 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.93 : 2,104.67 = 429.17 : x
  2. Step 2: Convert to fraction form
    1,402.93/2,104.67 = 429.17/x
  3. Step 3: Cross multiply
    1,402.93x = 2,104.67 × 429.17
  4. Step 4: Simplify right side
    1,402.93x = 903,264.34
  5. Step 5: Solve for x
    x = 903,264.34/1,402.93
  6. Step 6: Final answer
    x = 643.84

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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.