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Finding the Fourth Proportional to 909.58, 1,364.29 and 470.81

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Solution

The fourth proportional to 909.58, 1,364.29 and 470.81 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.58 : 1,364.29 = 470.81 : x
  2. Step 2: Convert to fraction form
    909.58/1,364.29 = 470.81/x
  3. Step 3: Cross multiply
    909.58x = 1,364.29 × 470.81
  4. Step 4: Simplify right side
    909.58x = 642,326.26
  5. Step 5: Solve for x
    x = 642,326.26/909.58
  6. Step 6: Final answer
    x = 706.18

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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.