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Finding the Fourth Proportional to 770.60, 1,153.62 and 510.10

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Solution

The fourth proportional to 770.60, 1,153.62 and 510.10 is: 763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.60 : 1,153.62 = 510.10 : x
  2. Step 2: Convert to fraction form
    770.60/1,153.62 = 510.10/x
  3. Step 3: Cross multiply
    770.60x = 1,153.62 × 510.10
  4. Step 4: Simplify right side
    770.60x = 588,461.56
  5. Step 5: Solve for x
    x = 588,461.56/770.60
  6. Step 6: Final answer
    x = 763.64

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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.