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Finding the Fourth Proportional to 1,402.07, 1,934.85 and 804.55

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Solution

The fourth proportional to 1,402.07, 1,934.85 and 804.55 is: 1,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.07 : 1,934.85 = 804.55 : x
  2. Step 2: Convert to fraction form
    1,402.07/1,934.85 = 804.55/x
  3. Step 3: Cross multiply
    1,402.07x = 1,934.85 × 804.55
  4. Step 4: Simplify right side
    1,402.07x = 1,556,683.57
  5. Step 5: Solve for x
    x = 1,556,683.57/1,402.07
  6. Step 6: Final answer
    x = 1,110.28

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1.5x scale

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.