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Finding the Fourth Proportional to 1,061.04, 1,582.44 and 907.92

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Solution

The fourth proportional to 1,061.04, 1,582.44 and 907.92 is: 1,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.04 : 1,582.44 = 907.92 : x
  2. Step 2: Convert to fraction form
    1,061.04/1,582.44 = 907.92/x
  3. Step 3: Cross multiply
    1,061.04x = 1,582.44 × 907.92
  4. Step 4: Simplify right side
    1,061.04x = 1,436,728.92
  5. Step 5: Solve for x
    x = 1,436,728.92/1,061.04
  6. Step 6: Final answer
    x = 1,354.08

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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.