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Finding the Fourth Proportional to 1,341.82, 2,012.93 and 476.06

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Solution

The fourth proportional to 1,341.82, 2,012.93 and 476.06 is: 714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.82 : 2,012.93 = 476.06 : x
  2. Step 2: Convert to fraction form
    1,341.82/2,012.93 = 476.06/x
  3. Step 3: Cross multiply
    1,341.82x = 2,012.93 × 476.06
  4. Step 4: Simplify right side
    1,341.82x = 958,275.46
  5. Step 5: Solve for x
    x = 958,275.46/1,341.82
  6. Step 6: Final answer
    x = 714.16

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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.