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Finding the Fourth Proportional to 730.19, 1,008.76 and 478.71

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Solution

The fourth proportional to 730.19, 1,008.76 and 478.71 is: 661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.19 : 1,008.76 = 478.71 : x
  2. Step 2: Convert to fraction form
    730.19/1,008.76 = 478.71/x
  3. Step 3: Cross multiply
    730.19x = 1,008.76 × 478.71
  4. Step 4: Simplify right side
    730.19x = 482,901.11
  5. Step 5: Solve for x
    x = 482,901.11/730.19
  6. Step 6: Final answer
    x = 661.34

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Find fourth proportional to 365.09, 504.38 and 239.36
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.