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Finding the Fourth Proportional to 469.77, 646.70 and 403.89

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Solution

The fourth proportional to 469.77, 646.70 and 403.89 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.77 : 646.70 = 403.89 : x
  2. Step 2: Convert to fraction form
    469.77/646.70 = 403.89/x
  3. Step 3: Cross multiply
    469.77x = 646.70 × 403.89
  4. Step 4: Simplify right side
    469.77x = 261,193.64
  5. Step 5: Solve for x
    x = 261,193.64/469.77
  6. Step 6: Final answer
    x = 556.00

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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.