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Finding the Fourth Proportional to 1,417.81, 2,128.07 and 595.87

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Solution

The fourth proportional to 1,417.81, 2,128.07 and 595.87 is: 894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.81 : 2,128.07 = 595.87 : x
  2. Step 2: Convert to fraction form
    1,417.81/2,128.07 = 595.87/x
  3. Step 3: Cross multiply
    1,417.81x = 2,128.07 × 595.87
  4. Step 4: Simplify right side
    1,417.81x = 1,268,053.07
  5. Step 5: Solve for x
    x = 1,268,053.07/1,417.81
  6. Step 6: Final answer
    x = 894.37

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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.