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Finding the Fourth Proportional to 509.30, 701.08 and 384.76

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Solution

The fourth proportional to 509.30, 701.08 and 384.76 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 701.08 = 384.76 : x
  2. Step 2: Convert to fraction form
    509.30/701.08 = 384.76/x
  3. Step 3: Cross multiply
    509.30x = 701.08 × 384.76
  4. Step 4: Simplify right side
    509.30x = 269,747.54
  5. Step 5: Solve for x
    x = 269,747.54/509.30
  6. Step 6: Final answer
    x = 529.64

Related Problems

Find fourth proportional to 254.65, 350.54 and 192.38
Half scale
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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.