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Finding the Fourth Proportional to 1,034.91, 1,428.21 and 569.16

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Solution

The fourth proportional to 1,034.91, 1,428.21 and 569.16 is: 785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.91 : 1,428.21 = 569.16 : x
  2. Step 2: Convert to fraction form
    1,034.91/1,428.21 = 569.16/x
  3. Step 3: Cross multiply
    1,034.91x = 1,428.21 × 569.16
  4. Step 4: Simplify right side
    1,034.91x = 812,880.00
  5. Step 5: Solve for x
    x = 812,880.00/1,034.91
  6. Step 6: Final answer
    x = 785.46

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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.