Home / 1,534.16-2,301.24-508.24

Finding the Fourth Proportional to 1,534.16, 2,301.24 and 508.24

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Solution

The fourth proportional to 1,534.16, 2,301.24 and 508.24 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.16 : 2,301.24 = 508.24 : x
  2. Step 2: Convert to fraction form
    1,534.16/2,301.24 = 508.24/x
  3. Step 3: Cross multiply
    1,534.16x = 2,301.24 × 508.24
  4. Step 4: Simplify right side
    1,534.16x = 1,169,582.22
  5. Step 5: Solve for x
    x = 1,169,582.22/1,534.16
  6. Step 6: Final answer
    x = 762.36

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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.