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Finding the Fourth Proportional to 770.66, 1,155.51 and 510.38

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Solution

The fourth proportional to 770.66, 1,155.51 and 510.38 is: 765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.66 : 1,155.51 = 510.38 : x
  2. Step 2: Convert to fraction form
    770.66/1,155.51 = 510.38/x
  3. Step 3: Cross multiply
    770.66x = 1,155.51 × 510.38
  4. Step 4: Simplify right side
    770.66x = 589,749.19
  5. Step 5: Solve for x
    x = 589,749.19/770.66
  6. Step 6: Final answer
    x = 765.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.