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Finding the Fourth Proportional to 527.85, 728.42 and 306.77

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Solution

The fourth proportional to 527.85, 728.42 and 306.77 is: 423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.85 : 728.42 = 306.77 : x
  2. Step 2: Convert to fraction form
    527.85/728.42 = 306.77/x
  3. Step 3: Cross multiply
    527.85x = 728.42 × 306.77
  4. Step 4: Simplify right side
    527.85x = 223,452.23
  5. Step 5: Solve for x
    x = 223,452.23/527.85
  6. Step 6: Final answer
    x = 423.33

Related Problems

Find fourth proportional to 263.93, 364.21 and 153.38
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Double scale
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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.