Home / 1,526.56-2,289.14-705.10

Finding the Fourth Proportional to 1,526.56, 2,289.14 and 705.10

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Solution

The fourth proportional to 1,526.56, 2,289.14 and 705.10 is: 1,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.56 : 2,289.14 = 705.10 : x
  2. Step 2: Convert to fraction form
    1,526.56/2,289.14 = 705.10/x
  3. Step 3: Cross multiply
    1,526.56x = 2,289.14 × 705.10
  4. Step 4: Simplify right side
    1,526.56x = 1,614,072.61
  5. Step 5: Solve for x
    x = 1,614,072.61/1,526.56
  6. Step 6: Final answer
    x = 1,057.33

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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.