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Finding the Fourth Proportional to 770.99, 1,061.71 and 574.16

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Solution

The fourth proportional to 770.99, 1,061.71 and 574.16 is: 790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,061.71 = 574.16 : x
  2. Step 2: Convert to fraction form
    770.99/1,061.71 = 574.16/x
  3. Step 3: Cross multiply
    770.99x = 1,061.71 × 574.16
  4. Step 4: Simplify right side
    770.99x = 609,584.67
  5. Step 5: Solve for x
    x = 609,584.67/770.99
  6. Step 6: Final answer
    x = 790.66

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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.