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Finding the Fourth Proportional to 601.89, 830.21 and 380.76

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Solution

The fourth proportional to 601.89, 830.21 and 380.76 is: 525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.89 : 830.21 = 380.76 : x
  2. Step 2: Convert to fraction form
    601.89/830.21 = 380.76/x
  3. Step 3: Cross multiply
    601.89x = 830.21 × 380.76
  4. Step 4: Simplify right side
    601.89x = 316,110.76
  5. Step 5: Solve for x
    x = 316,110.76/601.89
  6. Step 6: Final answer
    x = 525.20

Related Problems

Find fourth proportional to 300.95, 415.11 and 190.38
Half scale
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Double scale
Find fourth proportional to 602.89, 831.59 and 381.76
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.