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Finding the Fourth Proportional to 770.45, 1,063.17 and 472.19

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Solution

The fourth proportional to 770.45, 1,063.17 and 472.19 is: 651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.45 : 1,063.17 = 472.19 : x
  2. Step 2: Convert to fraction form
    770.45/1,063.17 = 472.19/x
  3. Step 3: Cross multiply
    770.45x = 1,063.17 × 472.19
  4. Step 4: Simplify right side
    770.45x = 502,018.24
  5. Step 5: Solve for x
    x = 502,018.24/770.45
  6. Step 6: Final answer
    x = 651.59

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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.