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Finding the Fourth Proportional to 1,569.51, 2,352.33 and 644.49

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Solution

The fourth proportional to 1,569.51, 2,352.33 and 644.49 is: 965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.51 : 2,352.33 = 644.49 : x
  2. Step 2: Convert to fraction form
    1,569.51/2,352.33 = 644.49/x
  3. Step 3: Cross multiply
    1,569.51x = 2,352.33 × 644.49
  4. Step 4: Simplify right side
    1,569.51x = 1,516,053.16
  5. Step 5: Solve for x
    x = 1,516,053.16/1,569.51
  6. Step 6: Final answer
    x = 965.94

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1.5x scale

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.