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Finding the Fourth Proportional to 927.78, 1,384.63 and 890.10

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Solution

The fourth proportional to 927.78, 1,384.63 and 890.10 is: 1,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.78 : 1,384.63 = 890.10 : x
  2. Step 2: Convert to fraction form
    927.78/1,384.63 = 890.10/x
  3. Step 3: Cross multiply
    927.78x = 1,384.63 × 890.10
  4. Step 4: Simplify right side
    927.78x = 1,232,454.71
  5. Step 5: Solve for x
    x = 1,232,454.71/927.78
  6. Step 6: Final answer
    x = 1,328.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.