Home / 1,549.02-2,322.75-508.98

Finding the Fourth Proportional to 1,549.02, 2,322.75 and 508.98

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Solution

The fourth proportional to 1,549.02, 2,322.75 and 508.98 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.02 : 2,322.75 = 508.98 : x
  2. Step 2: Convert to fraction form
    1,549.02/2,322.75 = 508.98/x
  3. Step 3: Cross multiply
    1,549.02x = 2,322.75 × 508.98
  4. Step 4: Simplify right side
    1,549.02x = 1,182,233.30
  5. Step 5: Solve for x
    x = 1,182,233.30/1,549.02
  6. Step 6: Final answer
    x = 763.21

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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.