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Finding the Fourth Proportional to 1,349.93, 2,024.32 and 570.28

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Solution

The fourth proportional to 1,349.93, 2,024.32 and 570.28 is: 855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.93 : 2,024.32 = 570.28 : x
  2. Step 2: Convert to fraction form
    1,349.93/2,024.32 = 570.28/x
  3. Step 3: Cross multiply
    1,349.93x = 2,024.32 × 570.28
  4. Step 4: Simplify right side
    1,349.93x = 1,154,429.21
  5. Step 5: Solve for x
    x = 1,154,429.21/1,349.93
  6. Step 6: Final answer
    x = 855.18

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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.