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Finding the Fourth Proportional to 802.71, 1,106.64 and 537.17

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Solution

The fourth proportional to 802.71, 1,106.64 and 537.17 is: 740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.71 : 1,106.64 = 537.17 : x
  2. Step 2: Convert to fraction form
    802.71/1,106.64 = 537.17/x
  3. Step 3: Cross multiply
    802.71x = 1,106.64 × 537.17
  4. Step 4: Simplify right side
    802.71x = 594,448.28
  5. Step 5: Solve for x
    x = 594,448.28/802.71
  6. Step 6: Final answer
    x = 740.55

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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.