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Finding the Fourth Proportional to 1,434.81, 2,152.23 and 569.12

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Solution

The fourth proportional to 1,434.81, 2,152.23 and 569.12 is: 853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.81 : 2,152.23 = 569.12 : x
  2. Step 2: Convert to fraction form
    1,434.81/2,152.23 = 569.12/x
  3. Step 3: Cross multiply
    1,434.81x = 2,152.23 × 569.12
  4. Step 4: Simplify right side
    1,434.81x = 1,224,874.29
  5. Step 5: Solve for x
    x = 1,224,874.29/1,434.81
  6. Step 6: Final answer
    x = 853.68

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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.