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Finding the Fourth Proportional to 1,170.61, 1,756.32 and 585.52

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Solution

The fourth proportional to 1,170.61, 1,756.32 and 585.52 is: 878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.61 : 1,756.32 = 585.52 : x
  2. Step 2: Convert to fraction form
    1,170.61/1,756.32 = 585.52/x
  3. Step 3: Cross multiply
    1,170.61x = 1,756.32 × 585.52
  4. Step 4: Simplify right side
    1,170.61x = 1,028,360.49
  5. Step 5: Solve for x
    x = 1,028,360.49/1,170.61
  6. Step 6: Final answer
    x = 878.48

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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.