Home / 1,553.04-2,328.83-565.16

Finding the Fourth Proportional to 1,553.04, 2,328.83 and 565.16

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Solution

The fourth proportional to 1,553.04, 2,328.83 and 565.16 is: 847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.04 : 2,328.83 = 565.16 : x
  2. Step 2: Convert to fraction form
    1,553.04/2,328.83 = 565.16/x
  3. Step 3: Cross multiply
    1,553.04x = 2,328.83 × 565.16
  4. Step 4: Simplify right side
    1,553.04x = 1,316,154.33
  5. Step 5: Solve for x
    x = 1,316,154.33/1,553.04
  6. Step 6: Final answer
    x = 847.47

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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.