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Finding the Fourth Proportional to 1,569.04, 2,350.59 and 984.71

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Solution

The fourth proportional to 1,569.04, 2,350.59 and 984.71 is: 1,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.04 : 2,350.59 = 984.71 : x
  2. Step 2: Convert to fraction form
    1,569.04/2,350.59 = 984.71/x
  3. Step 3: Cross multiply
    1,569.04x = 2,350.59 × 984.71
  4. Step 4: Simplify right side
    1,569.04x = 2,314,638.44
  5. Step 5: Solve for x
    x = 2,314,638.44/1,569.04
  6. Step 6: Final answer
    x = 1,475.20

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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.