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Finding the Fourth Proportional to 1,146.04, 1,717.95 and 452.47

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Solution

The fourth proportional to 1,146.04, 1,717.95 and 452.47 is: 678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.04 : 1,717.95 = 452.47 : x
  2. Step 2: Convert to fraction form
    1,146.04/1,717.95 = 452.47/x
  3. Step 3: Cross multiply
    1,146.04x = 1,717.95 × 452.47
  4. Step 4: Simplify right side
    1,146.04x = 777,312.25
  5. Step 5: Solve for x
    x = 777,312.25/1,146.04
  6. Step 6: Final answer
    x = 678.26

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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.