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Finding the Fourth Proportional to 1,064.79, 1,589.58 and 988.65

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Solution

The fourth proportional to 1,064.79, 1,589.58 and 988.65 is: 1,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.79 : 1,589.58 = 988.65 : x
  2. Step 2: Convert to fraction form
    1,064.79/1,589.58 = 988.65/x
  3. Step 3: Cross multiply
    1,064.79x = 1,589.58 × 988.65
  4. Step 4: Simplify right side
    1,064.79x = 1,571,538.27
  5. Step 5: Solve for x
    x = 1,571,538.27/1,064.79
  6. Step 6: Final answer
    x = 1,475.91

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1.5x scale

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.