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Finding the Fourth Proportional to 693.81, 1,034.70 and 591.75

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Solution

The fourth proportional to 693.81, 1,034.70 and 591.75 is: 882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.81 : 1,034.70 = 591.75 : x
  2. Step 2: Convert to fraction form
    693.81/1,034.70 = 591.75/x
  3. Step 3: Cross multiply
    693.81x = 1,034.70 × 591.75
  4. Step 4: Simplify right side
    693.81x = 612,281.51
  5. Step 5: Solve for x
    x = 612,281.51/693.81
  6. Step 6: Final answer
    x = 882.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.