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Finding the Fourth Proportional to 1,135.28, 1,566.68 and 693.12

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Solution

The fourth proportional to 1,135.28, 1,566.68 and 693.12 is: 956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.28 : 1,566.68 = 693.12 : x
  2. Step 2: Convert to fraction form
    1,135.28/1,566.68 = 693.12/x
  3. Step 3: Cross multiply
    1,135.28x = 1,566.68 × 693.12
  4. Step 4: Simplify right side
    1,135.28x = 1,085,897.24
  5. Step 5: Solve for x
    x = 1,085,897.24/1,135.28
  6. Step 6: Final answer
    x = 956.50

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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.