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Finding the Fourth Proportional to 786.78, 1,085.77 and 432.74

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Solution

The fourth proportional to 786.78, 1,085.77 and 432.74 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.78 : 1,085.77 = 432.74 : x
  2. Step 2: Convert to fraction form
    786.78/1,085.77 = 432.74/x
  3. Step 3: Cross multiply
    786.78x = 1,085.77 × 432.74
  4. Step 4: Simplify right side
    786.78x = 469,859.37
  5. Step 5: Solve for x
    x = 469,859.37/786.78
  6. Step 6: Final answer
    x = 597.19

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1.5x scale

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.