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Finding the Fourth Proportional to 802.79, 1,106.12 and 540.35

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Solution

The fourth proportional to 802.79, 1,106.12 and 540.35 is: 744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.79 : 1,106.12 = 540.35 : x
  2. Step 2: Convert to fraction form
    802.79/1,106.12 = 540.35/x
  3. Step 3: Cross multiply
    802.79x = 1,106.12 × 540.35
  4. Step 4: Simplify right side
    802.79x = 597,683.71
  5. Step 5: Solve for x
    x = 597,683.71/802.79
  6. Step 6: Final answer
    x = 744.51

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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.