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Finding the Fourth Proportional to 1,055.40, 1,583.31 and 534.99

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Solution

The fourth proportional to 1,055.40, 1,583.31 and 534.99 is: 802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.40 : 1,583.31 = 534.99 : x
  2. Step 2: Convert to fraction form
    1,055.40/1,583.31 = 534.99/x
  3. Step 3: Cross multiply
    1,055.40x = 1,583.31 × 534.99
  4. Step 4: Simplify right side
    1,055.40x = 847,055.02
  5. Step 5: Solve for x
    x = 847,055.02/1,055.40
  6. Step 6: Final answer
    x = 802.59

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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.