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Finding the Fourth Proportional to 1,155.34, 1,594.40 and 644.33

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Solution

The fourth proportional to 1,155.34, 1,594.40 and 644.33 is: 889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.34 : 1,594.40 = 644.33 : x
  2. Step 2: Convert to fraction form
    1,155.34/1,594.40 = 644.33/x
  3. Step 3: Cross multiply
    1,155.34x = 1,594.40 × 644.33
  4. Step 4: Simplify right side
    1,155.34x = 1,027,320.18
  5. Step 5: Solve for x
    x = 1,027,320.18/1,155.34
  6. Step 6: Final answer
    x = 889.19

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1.5x scale

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.