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Finding the Fourth Proportional to 469.31, 652.05 and 463.50

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Solution

The fourth proportional to 469.31, 652.05 and 463.50 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 652.05 = 463.50 : x
  2. Step 2: Convert to fraction form
    469.31/652.05 = 463.50/x
  3. Step 3: Cross multiply
    469.31x = 652.05 × 463.50
  4. Step 4: Simplify right side
    469.31x = 302,225.18
  5. Step 5: Solve for x
    x = 302,225.18/469.31
  6. Step 6: Final answer
    x = 643.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.