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Finding the Fourth Proportional to 642.32, 962.62 and 313

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Solution

The fourth proportional to 642.32, 962.62 and 313 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.32 : 962.62 = 313 : x
  2. Step 2: Convert to fraction form
    642.32/962.62 = 313/x
  3. Step 3: Cross multiply
    642.32x = 962.62 × 313
  4. Step 4: Simplify right side
    642.32x = 301,300.06
  5. Step 5: Solve for x
    x = 301,300.06/642.32
  6. Step 6: Final answer
    x = 469.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.