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Finding the Fourth Proportional to 601.54, 830.18 and 380.76

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Solution

The fourth proportional to 601.54, 830.18 and 380.76 is: 525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.54 : 830.18 = 380.76 : x
  2. Step 2: Convert to fraction form
    601.54/830.18 = 380.76/x
  3. Step 3: Cross multiply
    601.54x = 830.18 × 380.76
  4. Step 4: Simplify right side
    601.54x = 316,099.34
  5. Step 5: Solve for x
    x = 316,099.34/601.54
  6. Step 6: Final answer
    x = 525.48

Related Problems

Find fourth proportional to 300.77, 415.09 and 190.38
Half scale
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Double scale
Find fourth proportional to 602.54, 831.56 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.