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Finding the Fourth Proportional to 433.40, 652.63 and 312.50

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Solution

The fourth proportional to 433.40, 652.63 and 312.50 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 652.63 = 312.50 : x
  2. Step 2: Convert to fraction form
    433.40/652.63 = 312.50/x
  3. Step 3: Cross multiply
    433.40x = 652.63 × 312.50
  4. Step 4: Simplify right side
    433.40x = 203,946.88
  5. Step 5: Solve for x
    x = 203,946.88/433.40
  6. Step 6: Final answer
    x = 470.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.