Home / 1,064.25-1,587.12-946.26

Finding the Fourth Proportional to 1,064.25, 1,587.12 and 946.26

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Solution

The fourth proportional to 1,064.25, 1,587.12 and 946.26 is: 1,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.25 : 1,587.12 = 946.26 : x
  2. Step 2: Convert to fraction form
    1,064.25/1,587.12 = 946.26/x
  3. Step 3: Cross multiply
    1,064.25x = 1,587.12 × 946.26
  4. Step 4: Simplify right side
    1,064.25x = 1,501,824.62
  5. Step 5: Solve for x
    x = 1,501,824.62/1,064.25
  6. Step 6: Final answer
    x = 1,411.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.