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Finding the Fourth Proportional to 522.69, 721.04 and 312.76

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Solution

The fourth proportional to 522.69, 721.04 and 312.76 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.69 : 721.04 = 312.76 : x
  2. Step 2: Convert to fraction form
    522.69/721.04 = 312.76/x
  3. Step 3: Cross multiply
    522.69x = 721.04 × 312.76
  4. Step 4: Simplify right side
    522.69x = 225,511.81
  5. Step 5: Solve for x
    x = 225,511.81/522.69
  6. Step 6: Final answer
    x = 431.45

Related Problems

Find fourth proportional to 261.34, 360.52 and 156.38
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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.