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Finding the Fourth Proportional to 1,543.65, 2,315.86 and 503.71

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Solution

The fourth proportional to 1,543.65, 2,315.86 and 503.71 is: 755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.65 : 2,315.86 = 503.71 : x
  2. Step 2: Convert to fraction form
    1,543.65/2,315.86 = 503.71/x
  3. Step 3: Cross multiply
    1,543.65x = 2,315.86 × 503.71
  4. Step 4: Simplify right side
    1,543.65x = 1,166,521.84
  5. Step 5: Solve for x
    x = 1,166,521.84/1,543.65
  6. Step 6: Final answer
    x = 755.69

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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.