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Finding the Fourth Proportional to 1,315.12, 1,973 and 584.92

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Solution

The fourth proportional to 1,315.12, 1,973 and 584.92 is: 877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.12 : 1,973 = 584.92 : x
  2. Step 2: Convert to fraction form
    1,315.12/1,973 = 584.92/x
  3. Step 3: Cross multiply
    1,315.12x = 1,973 × 584.92
  4. Step 4: Simplify right side
    1,315.12x = 1,154,047.16
  5. Step 5: Solve for x
    x = 1,154,047.16/1,315.12
  6. Step 6: Final answer
    x = 877.52

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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.