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Finding the Fourth Proportional to 1,407.04, 1,941.68 and 817.76

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Solution

The fourth proportional to 1,407.04, 1,941.68 and 817.76 is: 1,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.04 : 1,941.68 = 817.76 : x
  2. Step 2: Convert to fraction form
    1,407.04/1,941.68 = 817.76/x
  3. Step 3: Cross multiply
    1,407.04x = 1,941.68 × 817.76
  4. Step 4: Simplify right side
    1,407.04x = 1,587,828.24
  5. Step 5: Solve for x
    x = 1,587,828.24/1,407.04
  6. Step 6: Final answer
    x = 1,128.49

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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.