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Finding the Fourth Proportional to 1,047.53, 1,444.50 and 848.16

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Solution

The fourth proportional to 1,047.53, 1,444.50 and 848.16 is: 1,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.53 : 1,444.50 = 848.16 : x
  2. Step 2: Convert to fraction form
    1,047.53/1,444.50 = 848.16/x
  3. Step 3: Cross multiply
    1,047.53x = 1,444.50 × 848.16
  4. Step 4: Simplify right side
    1,047.53x = 1,225,167.12
  5. Step 5: Solve for x
    x = 1,225,167.12/1,047.53
  6. Step 6: Final answer
    x = 1,169.58

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1.5x scale

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.