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Finding the Fourth Proportional to 510.64, 769.53 and 485.93

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Solution

The fourth proportional to 510.64, 769.53 and 485.93 is: 732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 769.53 = 485.93 : x
  2. Step 2: Convert to fraction form
    510.64/769.53 = 485.93/x
  3. Step 3: Cross multiply
    510.64x = 769.53 × 485.93
  4. Step 4: Simplify right side
    510.64x = 373,941.46
  5. Step 5: Solve for x
    x = 373,941.46/510.64
  6. Step 6: Final answer
    x = 732.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.