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Finding the Fourth Proportional to 856.19, 1,283.37 and 417.74

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Solution

The fourth proportional to 856.19, 1,283.37 and 417.74 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.19 : 1,283.37 = 417.74 : x
  2. Step 2: Convert to fraction form
    856.19/1,283.37 = 417.74/x
  3. Step 3: Cross multiply
    856.19x = 1,283.37 × 417.74
  4. Step 4: Simplify right side
    856.19x = 536,114.81
  5. Step 5: Solve for x
    x = 536,114.81/856.19
  6. Step 6: Final answer
    x = 626.16

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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.