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Finding the Fourth Proportional to 1,054.77, 1,574.15 and 1,030.20

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Solution

The fourth proportional to 1,054.77, 1,574.15 and 1,030.20 is: 1,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.77 : 1,574.15 = 1,030.20 : x
  2. Step 2: Convert to fraction form
    1,054.77/1,574.15 = 1,030.20/x
  3. Step 3: Cross multiply
    1,054.77x = 1,574.15 × 1,030.20
  4. Step 4: Simplify right side
    1,054.77x = 1,621,689.33
  5. Step 5: Solve for x
    x = 1,621,689.33/1,054.77
  6. Step 6: Final answer
    x = 1,537.48

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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.