Home / 1,293.16-1,938.01-470.66

Finding the Fourth Proportional to 1,293.16, 1,938.01 and 470.66

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Solution

The fourth proportional to 1,293.16, 1,938.01 and 470.66 is: 705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.16 : 1,938.01 = 470.66 : x
  2. Step 2: Convert to fraction form
    1,293.16/1,938.01 = 470.66/x
  3. Step 3: Cross multiply
    1,293.16x = 1,938.01 × 470.66
  4. Step 4: Simplify right side
    1,293.16x = 912,134.68
  5. Step 5: Solve for x
    x = 912,134.68/1,293.16
  6. Step 6: Final answer
    x = 705.35

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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.