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Finding the Fourth Proportional to 521.74, 719.74 and 332.77

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Solution

The fourth proportional to 521.74, 719.74 and 332.77 is: 459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 719.74 = 332.77 : x
  2. Step 2: Convert to fraction form
    521.74/719.74 = 332.77/x
  3. Step 3: Cross multiply
    521.74x = 719.74 × 332.77
  4. Step 4: Simplify right side
    521.74x = 239,510.51
  5. Step 5: Solve for x
    x = 239,510.51/521.74
  6. Step 6: Final answer
    x = 459.06

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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.