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Finding the Fourth Proportional to 1,312.91, 1,970.74 and 583.01

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Solution

The fourth proportional to 1,312.91, 1,970.74 and 583.01 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.91 : 1,970.74 = 583.01 : x
  2. Step 2: Convert to fraction form
    1,312.91/1,970.74 = 583.01/x
  3. Step 3: Cross multiply
    1,312.91x = 1,970.74 × 583.01
  4. Step 4: Simplify right side
    1,312.91x = 1,148,951.27
  5. Step 5: Solve for x
    x = 1,148,951.27/1,312.91
  6. Step 6: Final answer
    x = 875.12

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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.