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Finding the Fourth Proportional to 1,094.76, 1,510.47 and 696.65

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Solution

The fourth proportional to 1,094.76, 1,510.47 and 696.65 is: 961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.76 : 1,510.47 = 696.65 : x
  2. Step 2: Convert to fraction form
    1,094.76/1,510.47 = 696.65/x
  3. Step 3: Cross multiply
    1,094.76x = 1,510.47 × 696.65
  4. Step 4: Simplify right side
    1,094.76x = 1,052,261.37
  5. Step 5: Solve for x
    x = 1,052,261.37/1,094.76
  6. Step 6: Final answer
    x = 961.18

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Find fourth proportional to 547.38, 755.24 and 348.32
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.