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Finding the Fourth Proportional to 743.83, 1,117.45 and 524.96

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Solution

The fourth proportional to 743.83, 1,117.45 and 524.96 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.83 : 1,117.45 = 524.96 : x
  2. Step 2: Convert to fraction form
    743.83/1,117.45 = 524.96/x
  3. Step 3: Cross multiply
    743.83x = 1,117.45 × 524.96
  4. Step 4: Simplify right side
    743.83x = 586,617.29
  5. Step 5: Solve for x
    x = 586,617.29/743.83
  6. Step 6: Final answer
    x = 788.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.