Home / 1,552.02-2,328.01-564.83

Finding the Fourth Proportional to 1,552.02, 2,328.01 and 564.83

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Solution

The fourth proportional to 1,552.02, 2,328.01 and 564.83 is: 847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.02 : 2,328.01 = 564.83 : x
  2. Step 2: Convert to fraction form
    1,552.02/2,328.01 = 564.83/x
  3. Step 3: Cross multiply
    1,552.02x = 2,328.01 × 564.83
  4. Step 4: Simplify right side
    1,552.02x = 1,314,934.30
  5. Step 5: Solve for x
    x = 1,314,934.30/1,552.02
  6. Step 6: Final answer
    x = 847.24

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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.