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Finding the Fourth Proportional to 556.09, 766.95 and 390.10

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Solution

The fourth proportional to 556.09, 766.95 and 390.10 is: 538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.09 : 766.95 = 390.10 : x
  2. Step 2: Convert to fraction form
    556.09/766.95 = 390.10/x
  3. Step 3: Cross multiply
    556.09x = 766.95 × 390.10
  4. Step 4: Simplify right side
    556.09x = 299,187.20
  5. Step 5: Solve for x
    x = 299,187.20/556.09
  6. Step 6: Final answer
    x = 538.02

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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.