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Finding the Fourth Proportional to 1,716.32, 2,574.47 and 417.78

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Solution

The fourth proportional to 1,716.32, 2,574.47 and 417.78 is: 626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.32 : 2,574.47 = 417.78 : x
  2. Step 2: Convert to fraction form
    1,716.32/2,574.47 = 417.78/x
  3. Step 3: Cross multiply
    1,716.32x = 2,574.47 × 417.78
  4. Step 4: Simplify right side
    1,716.32x = 1,075,562.08
  5. Step 5: Solve for x
    x = 1,075,562.08/1,716.32
  6. Step 6: Final answer
    x = 626.67

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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.