Home / 1,158.51-1,738.32-509.16

Finding the Fourth Proportional to 1,158.51, 1,738.32 and 509.16

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Solution

The fourth proportional to 1,158.51, 1,738.32 and 509.16 is: 763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.51 : 1,738.32 = 509.16 : x
  2. Step 2: Convert to fraction form
    1,158.51/1,738.32 = 509.16/x
  3. Step 3: Cross multiply
    1,158.51x = 1,738.32 × 509.16
  4. Step 4: Simplify right side
    1,158.51x = 885,083.01
  5. Step 5: Solve for x
    x = 885,083.01/1,158.51
  6. Step 6: Final answer
    x = 763.98

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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.