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Finding the Fourth Proportional to 1,165.54, 1,608.10 and 693.19

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Solution

The fourth proportional to 1,165.54, 1,608.10 and 693.19 is: 956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.54 : 1,608.10 = 693.19 : x
  2. Step 2: Convert to fraction form
    1,165.54/1,608.10 = 693.19/x
  3. Step 3: Cross multiply
    1,165.54x = 1,608.10 × 693.19
  4. Step 4: Simplify right side
    1,165.54x = 1,114,718.84
  5. Step 5: Solve for x
    x = 1,114,718.84/1,165.54
  6. Step 6: Final answer
    x = 956.40

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Half scale
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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.