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Finding the Fourth Proportional to 856.95, 1,184.54 and 788.91

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Solution

The fourth proportional to 856.95, 1,184.54 and 788.91 is: 1,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.95 : 1,184.54 = 788.91 : x
  2. Step 2: Convert to fraction form
    856.95/1,184.54 = 788.91/x
  3. Step 3: Cross multiply
    856.95x = 1,184.54 × 788.91
  4. Step 4: Simplify right side
    856.95x = 934,491.51
  5. Step 5: Solve for x
    x = 934,491.51/856.95
  6. Step 6: Final answer
    x = 1,090.49

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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.