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Finding the Fourth Proportional to 904.47, 1,358.07 and 802.41

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Solution

The fourth proportional to 904.47, 1,358.07 and 802.41 is: 1,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.47 : 1,358.07 = 802.41 : x
  2. Step 2: Convert to fraction form
    904.47/1,358.07 = 802.41/x
  3. Step 3: Cross multiply
    904.47x = 1,358.07 × 802.41
  4. Step 4: Simplify right side
    904.47x = 1,089,720.85
  5. Step 5: Solve for x
    x = 1,089,720.85/904.47
  6. Step 6: Final answer
    x = 1,204.82

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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.