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Finding the Fourth Proportional to 1,019.27, 1,526.80 and 497.70

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Solution

The fourth proportional to 1,019.27, 1,526.80 and 497.70 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.27 : 1,526.80 = 497.70 : x
  2. Step 2: Convert to fraction form
    1,019.27/1,526.80 = 497.70/x
  3. Step 3: Cross multiply
    1,019.27x = 1,526.80 × 497.70
  4. Step 4: Simplify right side
    1,019.27x = 759,888.36
  5. Step 5: Solve for x
    x = 759,888.36/1,019.27
  6. Step 6: Final answer
    x = 745.52

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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.