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Finding the Fourth Proportional to 1,110.76, 1,532.71 and 690.50

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Solution

The fourth proportional to 1,110.76, 1,532.71 and 690.50 is: 952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.76 : 1,532.71 = 690.50 : x
  2. Step 2: Convert to fraction form
    1,110.76/1,532.71 = 690.50/x
  3. Step 3: Cross multiply
    1,110.76x = 1,532.71 × 690.50
  4. Step 4: Simplify right side
    1,110.76x = 1,058,336.26
  5. Step 5: Solve for x
    x = 1,058,336.26/1,110.76
  6. Step 6: Final answer
    x = 952.80

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Double scale
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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.