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Finding the Fourth Proportional to 1,005.68, 1,501.64 and 900.89

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Solution

The fourth proportional to 1,005.68, 1,501.64 and 900.89 is: 1,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.68 : 1,501.64 = 900.89 : x
  2. Step 2: Convert to fraction form
    1,005.68/1,501.64 = 900.89/x
  3. Step 3: Cross multiply
    1,005.68x = 1,501.64 × 900.89
  4. Step 4: Simplify right side
    1,005.68x = 1,352,812.46
  5. Step 5: Solve for x
    x = 1,352,812.46/1,005.68
  6. Step 6: Final answer
    x = 1,345.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.