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Finding the Fourth Proportional to 866.16, 1,298.02 and 649.60

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Solution

The fourth proportional to 866.16, 1,298.02 and 649.60 is: 973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,298.02 = 649.60 : x
  2. Step 2: Convert to fraction form
    866.16/1,298.02 = 649.60/x
  3. Step 3: Cross multiply
    866.16x = 1,298.02 × 649.60
  4. Step 4: Simplify right side
    866.16x = 843,193.79
  5. Step 5: Solve for x
    x = 843,193.79/866.16
  6. Step 6: Final answer
    x = 973.49

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.