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Finding the Fourth Proportional to 926.27, 1,389.07 and 378.16

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Solution

The fourth proportional to 926.27, 1,389.07 and 378.16 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.27 : 1,389.07 = 378.16 : x
  2. Step 2: Convert to fraction form
    926.27/1,389.07 = 378.16/x
  3. Step 3: Cross multiply
    926.27x = 1,389.07 × 378.16
  4. Step 4: Simplify right side
    926.27x = 525,290.71
  5. Step 5: Solve for x
    x = 525,290.71/926.27
  6. Step 6: Final answer
    x = 567.10

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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.