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Finding the Fourth Proportional to 521.94, 719.74 and 364.76

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Solution

The fourth proportional to 521.94, 719.74 and 364.76 is: 502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 719.74 = 364.76 : x
  2. Step 2: Convert to fraction form
    521.94/719.74 = 364.76/x
  3. Step 3: Cross multiply
    521.94x = 719.74 × 364.76
  4. Step 4: Simplify right side
    521.94x = 262,532.36
  5. Step 5: Solve for x
    x = 262,532.36/521.94
  6. Step 6: Final answer
    x = 502.99

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Find fourth proportional to 260.97, 359.87 and 182.38
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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.