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Finding the Fourth Proportional to 740.77, 1,022.36 and 446.20

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Solution

The fourth proportional to 740.77, 1,022.36 and 446.20 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.77 : 1,022.36 = 446.20 : x
  2. Step 2: Convert to fraction form
    740.77/1,022.36 = 446.20/x
  3. Step 3: Cross multiply
    740.77x = 1,022.36 × 446.20
  4. Step 4: Simplify right side
    740.77x = 456,172.25
  5. Step 5: Solve for x
    x = 456,172.25/740.77
  6. Step 6: Final answer
    x = 615.81

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Find fourth proportional to 370.38, 511.18 and 223.10
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.