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Finding the Fourth Proportional to 1,001.07, 1,501.67 and 384.77

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Solution

The fourth proportional to 1,001.07, 1,501.67 and 384.77 is: 577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.07 : 1,501.67 = 384.77 : x
  2. Step 2: Convert to fraction form
    1,001.07/1,501.67 = 384.77/x
  3. Step 3: Cross multiply
    1,001.07x = 1,501.67 × 384.77
  4. Step 4: Simplify right side
    1,001.07x = 577,800.84
  5. Step 5: Solve for x
    x = 577,800.84/1,001.07
  6. Step 6: Final answer
    x = 577.19

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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.