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Finding the Fourth Proportional to 1,034.89, 1,428.12 and 569.14

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Solution

The fourth proportional to 1,034.89, 1,428.12 and 569.14 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.89 : 1,428.12 = 569.14 : x
  2. Step 2: Convert to fraction form
    1,034.89/1,428.12 = 569.14/x
  3. Step 3: Cross multiply
    1,034.89x = 1,428.12 × 569.14
  4. Step 4: Simplify right side
    1,034.89x = 812,800.22
  5. Step 5: Solve for x
    x = 812,800.22/1,034.89
  6. Step 6: Final answer
    x = 785.40

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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.