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Finding the Fourth Proportional to 1,111.47, 1,666.75 and 417.78

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Solution

The fourth proportional to 1,111.47, 1,666.75 and 417.78 is: 626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.47 : 1,666.75 = 417.78 : x
  2. Step 2: Convert to fraction form
    1,111.47/1,666.75 = 417.78/x
  3. Step 3: Cross multiply
    1,111.47x = 1,666.75 × 417.78
  4. Step 4: Simplify right side
    1,111.47x = 696,337.94
  5. Step 5: Solve for x
    x = 696,337.94/1,111.47
  6. Step 6: Final answer
    x = 626.50

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Double scale
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1.5x scale

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.