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Finding the Fourth Proportional to 1,048.01, 1,572.01 and 500.58

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Solution

The fourth proportional to 1,048.01, 1,572.01 and 500.58 is: 750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.01 : 1,572.01 = 500.58 : x
  2. Step 2: Convert to fraction form
    1,048.01/1,572.01 = 500.58/x
  3. Step 3: Cross multiply
    1,048.01x = 1,572.01 × 500.58
  4. Step 4: Simplify right side
    1,048.01x = 786,916.77
  5. Step 5: Solve for x
    x = 786,916.77/1,048.01
  6. Step 6: Final answer
    x = 750.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.