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Finding the Fourth Proportional to 1,045.70, 1,570.10 and 658.16

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Solution

The fourth proportional to 1,045.70, 1,570.10 and 658.16 is: 988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.70 : 1,570.10 = 658.16 : x
  2. Step 2: Convert to fraction form
    1,045.70/1,570.10 = 658.16/x
  3. Step 3: Cross multiply
    1,045.70x = 1,570.10 × 658.16
  4. Step 4: Simplify right side
    1,045.70x = 1,033,365.87
  5. Step 5: Solve for x
    x = 1,033,365.87/1,045.70
  6. Step 6: Final answer
    x = 988.21

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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.