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Finding the Fourth Proportional to 525.81, 725.61 and 304.76

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Solution

The fourth proportional to 525.81, 725.61 and 304.76 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.81 : 725.61 = 304.76 : x
  2. Step 2: Convert to fraction form
    525.81/725.61 = 304.76/x
  3. Step 3: Cross multiply
    525.81x = 725.61 × 304.76
  4. Step 4: Simplify right side
    525.81x = 221,133.28
  5. Step 5: Solve for x
    x = 221,133.28/525.81
  6. Step 6: Final answer
    x = 420.56

Related Problems

Find fourth proportional to 262.91, 362.81 and 152.38
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Double scale
Find fourth proportional to 526.81, 726.99 and 305.76
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.