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Finding the Fourth Proportional to 1,047.12, 1,444.98 and 575

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Solution

The fourth proportional to 1,047.12, 1,444.98 and 575 is: 793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.12 : 1,444.98 = 575 : x
  2. Step 2: Convert to fraction form
    1,047.12/1,444.98 = 575/x
  3. Step 3: Cross multiply
    1,047.12x = 1,444.98 × 575
  4. Step 4: Simplify right side
    1,047.12x = 830,863.50
  5. Step 5: Solve for x
    x = 830,863.50/1,047.12
  6. Step 6: Final answer
    x = 793.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.