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Finding the Fourth Proportional to 830.79, 1,144.26 and 705.69

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Solution

The fourth proportional to 830.79, 1,144.26 and 705.69 is: 971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,144.26 = 705.69 : x
  2. Step 2: Convert to fraction form
    830.79/1,144.26 = 705.69/x
  3. Step 3: Cross multiply
    830.79x = 1,144.26 × 705.69
  4. Step 4: Simplify right side
    830.79x = 807,492.84
  5. Step 5: Solve for x
    x = 807,492.84/830.79
  6. Step 6: Final answer
    x = 971.96

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Half scale
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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.