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Finding the Fourth Proportional to 1,051.47, 1,578.74 and 870.02

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Solution

The fourth proportional to 1,051.47, 1,578.74 and 870.02 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.47 : 1,578.74 = 870.02 : x
  2. Step 2: Convert to fraction form
    1,051.47/1,578.74 = 870.02/x
  3. Step 3: Cross multiply
    1,051.47x = 1,578.74 × 870.02
  4. Step 4: Simplify right side
    1,051.47x = 1,373,529.50
  5. Step 5: Solve for x
    x = 1,373,529.50/1,051.47
  6. Step 6: Final answer
    x = 1,306.30

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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.