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Finding the Fourth Proportional to 785.50, 1,176.58 and 510.78

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Solution

The fourth proportional to 785.50, 1,176.58 and 510.78 is: 765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.50 : 1,176.58 = 510.78 : x
  2. Step 2: Convert to fraction form
    785.50/1,176.58 = 510.78/x
  3. Step 3: Cross multiply
    785.50x = 1,176.58 × 510.78
  4. Step 4: Simplify right side
    785.50x = 600,973.53
  5. Step 5: Solve for x
    x = 600,973.53/785.50
  6. Step 6: Final answer
    x = 765.08

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1.5x scale

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.