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Finding the Fourth Proportional to 1,347.84, 1,860.32 and 788.58

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Solution

The fourth proportional to 1,347.84, 1,860.32 and 788.58 is: 1,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.84 : 1,860.32 = 788.58 : x
  2. Step 2: Convert to fraction form
    1,347.84/1,860.32 = 788.58/x
  3. Step 3: Cross multiply
    1,347.84x = 1,860.32 × 788.58
  4. Step 4: Simplify right side
    1,347.84x = 1,467,011.15
  5. Step 5: Solve for x
    x = 1,467,011.15/1,347.84
  6. Step 6: Final answer
    x = 1,088.42

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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.