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Finding the Fourth Proportional to 1,094.69, 1,510.68 and 646.66

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Solution

The fourth proportional to 1,094.69, 1,510.68 and 646.66 is: 892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.69 : 1,510.68 = 646.66 : x
  2. Step 2: Convert to fraction form
    1,094.69/1,510.68 = 646.66/x
  3. Step 3: Cross multiply
    1,094.69x = 1,510.68 × 646.66
  4. Step 4: Simplify right side
    1,094.69x = 976,896.33
  5. Step 5: Solve for x
    x = 976,896.33/1,094.69
  6. Step 6: Final answer
    x = 892.40

Related Problems

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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.