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Finding the Fourth Proportional to 523.69, 721.53 and 346.33

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Solution

The fourth proportional to 523.69, 721.53 and 346.33 is: 477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 721.53 = 346.33 : x
  2. Step 2: Convert to fraction form
    523.69/721.53 = 346.33/x
  3. Step 3: Cross multiply
    523.69x = 721.53 × 346.33
  4. Step 4: Simplify right side
    523.69x = 249,887.48
  5. Step 5: Solve for x
    x = 249,887.48/523.69
  6. Step 6: Final answer
    x = 477.17

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.