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Finding the Fourth Proportional to 910.10, 1,364.00 and 389.49

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Solution

The fourth proportional to 910.10, 1,364.00 and 389.49 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.10 : 1,364.00 = 389.49 : x
  2. Step 2: Convert to fraction form
    910.10/1,364.00 = 389.49/x
  3. Step 3: Cross multiply
    910.10x = 1,364.00 × 389.49
  4. Step 4: Simplify right side
    910.10x = 531,262.78
  5. Step 5: Solve for x
    x = 531,262.78/910.10
  6. Step 6: Final answer
    x = 583.74

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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.