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Finding the Fourth Proportional to 556.88, 770.51 and 478.10

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Solution

The fourth proportional to 556.88, 770.51 and 478.10 is: 661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 770.51 = 478.10 : x
  2. Step 2: Convert to fraction form
    556.88/770.51 = 478.10/x
  3. Step 3: Cross multiply
    556.88x = 770.51 × 478.10
  4. Step 4: Simplify right side
    556.88x = 368,383.95
  5. Step 5: Solve for x
    x = 368,383.95/556.88
  6. Step 6: Final answer
    x = 661.52

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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.