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Finding the Fourth Proportional to 510.86, 763.65 and 379.64

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Solution

The fourth proportional to 510.86, 763.65 and 379.64 is: 567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 763.65 = 379.64 : x
  2. Step 2: Convert to fraction form
    510.86/763.65 = 379.64/x
  3. Step 3: Cross multiply
    510.86x = 763.65 × 379.64
  4. Step 4: Simplify right side
    510.86x = 289,914.00
  5. Step 5: Solve for x
    x = 289,914.00/510.86
  6. Step 6: Final answer
    x = 567.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.