Home / 1,578.45-2,178.64-915.67

Finding the Fourth Proportional to 1,578.45, 2,178.64 and 915.67

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Solution

The fourth proportional to 1,578.45, 2,178.64 and 915.67 is: 1,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.45 : 2,178.64 = 915.67 : x
  2. Step 2: Convert to fraction form
    1,578.45/2,178.64 = 915.67/x
  3. Step 3: Cross multiply
    1,578.45x = 2,178.64 × 915.67
  4. Step 4: Simplify right side
    1,578.45x = 1,994,915.29
  5. Step 5: Solve for x
    x = 1,994,915.29/1,578.45
  6. Step 6: Final answer
    x = 1,263.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.