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Finding the Fourth Proportional to 760.05, 1,048.69 and 461.23

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Solution

The fourth proportional to 760.05, 1,048.69 and 461.23 is: 636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.05 : 1,048.69 = 461.23 : x
  2. Step 2: Convert to fraction form
    760.05/1,048.69 = 461.23/x
  3. Step 3: Cross multiply
    760.05x = 1,048.69 × 461.23
  4. Step 4: Simplify right side
    760.05x = 483,685.24
  5. Step 5: Solve for x
    x = 483,685.24/760.05
  6. Step 6: Final answer
    x = 636.39

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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.