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Finding the Fourth Proportional to 522.75, 721.13 and 345.50

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Solution

The fourth proportional to 522.75, 721.13 and 345.50 is: 476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 721.13 = 345.50 : x
  2. Step 2: Convert to fraction form
    522.75/721.13 = 345.50/x
  3. Step 3: Cross multiply
    522.75x = 721.13 × 345.50
  4. Step 4: Simplify right side
    522.75x = 249,145.08
  5. Step 5: Solve for x
    x = 249,145.08/522.75
  6. Step 6: Final answer
    x = 476.60

Related Problems

Find fourth proportional to 261.38, 360.56 and 172.75
Half scale
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Double scale
Find fourth proportional to 523.75, 722.50 and 346.50
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.