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Finding the Fourth Proportional to 743.15, 1,113.51 and 526.34

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Solution

The fourth proportional to 743.15, 1,113.51 and 526.34 is: 788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.15 : 1,113.51 = 526.34 : x
  2. Step 2: Convert to fraction form
    743.15/1,113.51 = 526.34/x
  3. Step 3: Cross multiply
    743.15x = 1,113.51 × 526.34
  4. Step 4: Simplify right side
    743.15x = 586,084.85
  5. Step 5: Solve for x
    x = 586,084.85/743.15
  6. Step 6: Final answer
    x = 788.65

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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.