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Finding the Fourth Proportional to 610.08, 841.64 and 469.95

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Solution

The fourth proportional to 610.08, 841.64 and 469.95 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 841.64 = 469.95 : x
  2. Step 2: Convert to fraction form
    610.08/841.64 = 469.95/x
  3. Step 3: Cross multiply
    610.08x = 841.64 × 469.95
  4. Step 4: Simplify right side
    610.08x = 395,526.37
  5. Step 5: Solve for x
    x = 395,526.37/610.08
  6. Step 6: Final answer
    x = 648.32

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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.