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Finding the Fourth Proportional to 521.96, 719.98 and 312.00

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Solution

The fourth proportional to 521.96, 719.98 and 312.00 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.96 : 719.98 = 312.00 : x
  2. Step 2: Convert to fraction form
    521.96/719.98 = 312.00/x
  3. Step 3: Cross multiply
    521.96x = 719.98 × 312.00
  4. Step 4: Simplify right side
    521.96x = 224,630.28
  5. Step 5: Solve for x
    x = 224,630.28/521.96
  6. Step 6: Final answer
    x = 430.36

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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.