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Finding the Fourth Proportional to 1,051.30, 1,570.88 and 803.08

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Solution

The fourth proportional to 1,051.30, 1,570.88 and 803.08 is: 1,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.30 : 1,570.88 = 803.08 : x
  2. Step 2: Convert to fraction form
    1,051.30/1,570.88 = 803.08/x
  3. Step 3: Cross multiply
    1,051.30x = 1,570.88 × 803.08
  4. Step 4: Simplify right side
    1,051.30x = 1,261,542.31
  5. Step 5: Solve for x
    x = 1,261,542.31/1,051.30
  6. Step 6: Final answer
    x = 1,199.98

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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.