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Finding the Fourth Proportional to 1,547.42, 2,319.74 and 572.84

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Solution

The fourth proportional to 1,547.42, 2,319.74 and 572.84 is: 858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.42 : 2,319.74 = 572.84 : x
  2. Step 2: Convert to fraction form
    1,547.42/2,319.74 = 572.84/x
  3. Step 3: Cross multiply
    1,547.42x = 2,319.74 × 572.84
  4. Step 4: Simplify right side
    1,547.42x = 1,328,839.86
  5. Step 5: Solve for x
    x = 1,328,839.86/1,547.42
  6. Step 6: Final answer
    x = 858.75

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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.