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Finding the Fourth Proportional to 1,564.17, 2,358 and 1,458.48

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Solution

The fourth proportional to 1,564.17, 2,358 and 1,458.48 is: 2,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.17 : 2,358 = 1,458.48 : x
  2. Step 2: Convert to fraction form
    1,564.17/2,358 = 1,458.48/x
  3. Step 3: Cross multiply
    1,564.17x = 2,358 × 1,458.48
  4. Step 4: Simplify right side
    1,564.17x = 3,439,095.84
  5. Step 5: Solve for x
    x = 3,439,095.84/1,564.17
  6. Step 6: Final answer
    x = 2,198.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.