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Finding the Fourth Proportional to 1,689.19, 2,534.19 and 534.94

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Solution

The fourth proportional to 1,689.19, 2,534.19 and 534.94 is: 802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 2,534.19 = 534.94 : x
  2. Step 2: Convert to fraction form
    1,689.19/2,534.19 = 534.94/x
  3. Step 3: Cross multiply
    1,689.19x = 2,534.19 × 534.94
  4. Step 4: Simplify right side
    1,689.19x = 1,355,631.26
  5. Step 5: Solve for x
    x = 1,355,631.26/1,689.19
  6. Step 6: Final answer
    x = 802.53

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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.