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Finding the Fourth Proportional to 830.13, 1,143.58 and 580.98

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Solution

The fourth proportional to 830.13, 1,143.58 and 580.98 is: 800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.13 : 1,143.58 = 580.98 : x
  2. Step 2: Convert to fraction form
    830.13/1,143.58 = 580.98/x
  3. Step 3: Cross multiply
    830.13x = 1,143.58 × 580.98
  4. Step 4: Simplify right side
    830.13x = 664,397.11
  5. Step 5: Solve for x
    x = 664,397.11/830.13
  6. Step 6: Final answer
    x = 800.35

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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.