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Finding the Fourth Proportional to 1,065.08, 1,595.57 and 653.01

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Solution

The fourth proportional to 1,065.08, 1,595.57 and 653.01 is: 978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.08 : 1,595.57 = 653.01 : x
  2. Step 2: Convert to fraction form
    1,065.08/1,595.57 = 653.01/x
  3. Step 3: Cross multiply
    1,065.08x = 1,595.57 × 653.01
  4. Step 4: Simplify right side
    1,065.08x = 1,041,919.90
  5. Step 5: Solve for x
    x = 1,041,919.90/1,065.08
  6. Step 6: Final answer
    x = 978.26

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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.