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Finding the Fourth Proportional to 1,064.95, 1,596.31 and 371.39

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Solution

The fourth proportional to 1,064.95, 1,596.31 and 371.39 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.95 : 1,596.31 = 371.39 : x
  2. Step 2: Convert to fraction form
    1,064.95/1,596.31 = 371.39/x
  3. Step 3: Cross multiply
    1,064.95x = 1,596.31 × 371.39
  4. Step 4: Simplify right side
    1,064.95x = 592,844.66
  5. Step 5: Solve for x
    x = 592,844.66/1,064.95
  6. Step 6: Final answer
    x = 556.69

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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.