Home / 1,564.58-2,340.90-1,045.78

Finding the Fourth Proportional to 1,564.58, 2,340.90 and 1,045.78

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Solution

The fourth proportional to 1,564.58, 2,340.90 and 1,045.78 is: 1,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.58 : 2,340.90 = 1,045.78 : x
  2. Step 2: Convert to fraction form
    1,564.58/2,340.90 = 1,045.78/x
  3. Step 3: Cross multiply
    1,564.58x = 2,340.90 × 1,045.78
  4. Step 4: Simplify right side
    1,564.58x = 2,448,060.55
  5. Step 5: Solve for x
    x = 2,448,060.55/1,564.58
  6. Step 6: Final answer
    x = 1,564.67

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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.