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Finding the Fourth Proportional to 1,045.70, 1,567.97 and 717.02

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Solution

The fourth proportional to 1,045.70, 1,567.97 and 717.02 is: 1,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.70 : 1,567.97 = 717.02 : x
  2. Step 2: Convert to fraction form
    1,045.70/1,567.97 = 717.02/x
  3. Step 3: Cross multiply
    1,045.70x = 1,567.97 × 717.02
  4. Step 4: Simplify right side
    1,045.70x = 1,124,265.85
  5. Step 5: Solve for x
    x = 1,124,265.85/1,045.70
  6. Step 6: Final answer
    x = 1,075.13

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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.