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Finding the Fourth Proportional to 1,125.24, 1,688.40 and 802.68

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Solution

The fourth proportional to 1,125.24, 1,688.40 and 802.68 is: 1,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.24 : 1,688.40 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,125.24/1,688.40 = 802.68/x
  3. Step 3: Cross multiply
    1,125.24x = 1,688.40 × 802.68
  4. Step 4: Simplify right side
    1,125.24x = 1,355,244.91
  5. Step 5: Solve for x
    x = 1,355,244.91/1,125.24
  6. Step 6: Final answer
    x = 1,204.41

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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.