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Finding the Fourth Proportional to 763.39, 1,053.45 and 414.07

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Solution

The fourth proportional to 763.39, 1,053.45 and 414.07 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.39 : 1,053.45 = 414.07 : x
  2. Step 2: Convert to fraction form
    763.39/1,053.45 = 414.07/x
  3. Step 3: Cross multiply
    763.39x = 1,053.45 × 414.07
  4. Step 4: Simplify right side
    763.39x = 436,202.04
  5. Step 5: Solve for x
    x = 436,202.04/763.39
  6. Step 6: Final answer
    x = 571.40

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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.