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Finding the Fourth Proportional to 870.93, 1,306.84 and 578.63

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Solution

The fourth proportional to 870.93, 1,306.84 and 578.63 is: 868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.93 : 1,306.84 = 578.63 : x
  2. Step 2: Convert to fraction form
    870.93/1,306.84 = 578.63/x
  3. Step 3: Cross multiply
    870.93x = 1,306.84 × 578.63
  4. Step 4: Simplify right side
    870.93x = 756,173.94
  5. Step 5: Solve for x
    x = 756,173.94/870.93
  6. Step 6: Final answer
    x = 868.24

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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.