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Finding the Fourth Proportional to 1,402.04, 1,934.65 and 804.50

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Solution

The fourth proportional to 1,402.04, 1,934.65 and 804.50 is: 1,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.04 : 1,934.65 = 804.50 : x
  2. Step 2: Convert to fraction form
    1,402.04/1,934.65 = 804.50/x
  3. Step 3: Cross multiply
    1,402.04x = 1,934.65 × 804.50
  4. Step 4: Simplify right side
    1,402.04x = 1,556,434.19
  5. Step 5: Solve for x
    x = 1,556,434.19/1,402.04
  6. Step 6: Final answer
    x = 1,110.12

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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.