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Finding the Fourth Proportional to 829.48, 1,242.59 and 390.16

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Solution

The fourth proportional to 829.48, 1,242.59 and 390.16 is: 584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.48 : 1,242.59 = 390.16 : x
  2. Step 2: Convert to fraction form
    829.48/1,242.59 = 390.16/x
  3. Step 3: Cross multiply
    829.48x = 1,242.59 × 390.16
  4. Step 4: Simplify right side
    829.48x = 484,802.70
  5. Step 5: Solve for x
    x = 484,802.70/829.48
  6. Step 6: Final answer
    x = 584.47

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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.