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Finding the Fourth Proportional to 830.94, 1,145.58 and 595.23

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Solution

The fourth proportional to 830.94, 1,145.58 and 595.23 is: 820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.94 : 1,145.58 = 595.23 : x
  2. Step 2: Convert to fraction form
    830.94/1,145.58 = 595.23/x
  3. Step 3: Cross multiply
    830.94x = 1,145.58 × 595.23
  4. Step 4: Simplify right side
    830.94x = 681,883.58
  5. Step 5: Solve for x
    x = 681,883.58/830.94
  6. Step 6: Final answer
    x = 820.62

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Double scale
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1.5x scale

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.