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Finding the Fourth Proportional to 1,547.80, 2,320.83 and 507.55

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Solution

The fourth proportional to 1,547.80, 2,320.83 and 507.55 is: 761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.80 : 2,320.83 = 507.55 : x
  2. Step 2: Convert to fraction form
    1,547.80/2,320.83 = 507.55/x
  3. Step 3: Cross multiply
    1,547.80x = 2,320.83 × 507.55
  4. Step 4: Simplify right side
    1,547.80x = 1,177,937.27
  5. Step 5: Solve for x
    x = 1,177,937.27/1,547.80
  6. Step 6: Final answer
    x = 761.04

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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.