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Finding the Fourth Proportional to 1,341.79, 1,851.67 and 817.82

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Solution

The fourth proportional to 1,341.79, 1,851.67 and 817.82 is: 1,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.79 : 1,851.67 = 817.82 : x
  2. Step 2: Convert to fraction form
    1,341.79/1,851.67 = 817.82/x
  3. Step 3: Cross multiply
    1,341.79x = 1,851.67 × 817.82
  4. Step 4: Simplify right side
    1,341.79x = 1,514,319.41
  5. Step 5: Solve for x
    x = 1,514,319.41/1,341.79
  6. Step 6: Final answer
    x = 1,128.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.