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Finding the Fourth Proportional to 770.07, 1,062.66 and 420.76

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Solution

The fourth proportional to 770.07, 1,062.66 and 420.76 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.07 : 1,062.66 = 420.76 : x
  2. Step 2: Convert to fraction form
    770.07/1,062.66 = 420.76/x
  3. Step 3: Cross multiply
    770.07x = 1,062.66 × 420.76
  4. Step 4: Simplify right side
    770.07x = 447,119.51
  5. Step 5: Solve for x
    x = 447,119.51/770.07
  6. Step 6: Final answer
    x = 580.63

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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.