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Finding the Fourth Proportional to 1,748.79, 2,623.30 and 578.75

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Solution

The fourth proportional to 1,748.79, 2,623.30 and 578.75 is: 868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.79 : 2,623.30 = 578.75 : x
  2. Step 2: Convert to fraction form
    1,748.79/2,623.30 = 578.75/x
  3. Step 3: Cross multiply
    1,748.79x = 2,623.30 × 578.75
  4. Step 4: Simplify right side
    1,748.79x = 1,518,220.31
  5. Step 5: Solve for x
    x = 1,518,220.31/1,748.79
  6. Step 6: Final answer
    x = 868.15

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1.5x scale

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.