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Finding the Fourth Proportional to 705.51, 973.57 and 390.77

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Solution

The fourth proportional to 705.51, 973.57 and 390.77 is: 539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 973.57 = 390.77 : x
  2. Step 2: Convert to fraction form
    705.51/973.57 = 390.77/x
  3. Step 3: Cross multiply
    705.51x = 973.57 × 390.77
  4. Step 4: Simplify right side
    705.51x = 380,445.96
  5. Step 5: Solve for x
    x = 380,445.96/705.51
  6. Step 6: Final answer
    x = 539.25

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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.