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Finding the Fourth Proportional to 564.75, 779.13 and 525.24

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Solution

The fourth proportional to 564.75, 779.13 and 525.24 is: 724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 779.13 = 525.24 : x
  2. Step 2: Convert to fraction form
    564.75/779.13 = 525.24/x
  3. Step 3: Cross multiply
    564.75x = 779.13 × 525.24
  4. Step 4: Simplify right side
    564.75x = 409,230.24
  5. Step 5: Solve for x
    x = 409,230.24/564.75
  6. Step 6: Final answer
    x = 724.62

Related Problems

Find fourth proportional to 282.38, 389.57 and 262.62
Half scale
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Double scale
Find fourth proportional to 565.75, 780.51 and 526.24
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.