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Finding the Fourth Proportional to 1,054.02, 1,582.11 and 592.50

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Solution

The fourth proportional to 1,054.02, 1,582.11 and 592.50 is: 889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.02 : 1,582.11 = 592.50 : x
  2. Step 2: Convert to fraction form
    1,054.02/1,582.11 = 592.50/x
  3. Step 3: Cross multiply
    1,054.02x = 1,582.11 × 592.50
  4. Step 4: Simplify right side
    1,054.02x = 937,400.18
  5. Step 5: Solve for x
    x = 937,400.18/1,054.02
  6. Step 6: Final answer
    x = 889.36

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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.