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Finding the Fourth Proportional to 522.77, 720.84 and 357.08

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Solution

The fourth proportional to 522.77, 720.84 and 357.08 is: 492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.77 : 720.84 = 357.08 : x
  2. Step 2: Convert to fraction form
    522.77/720.84 = 357.08/x
  3. Step 3: Cross multiply
    522.77x = 720.84 × 357.08
  4. Step 4: Simplify right side
    522.77x = 257,393.94
  5. Step 5: Solve for x
    x = 257,393.94/522.77
  6. Step 6: Final answer
    x = 492.37

Related Problems

Find fourth proportional to 261.38, 360.42 and 178.54
Half scale
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Double scale
Find fourth proportional to 523.77, 722.22 and 358.08
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.