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Finding the Fourth Proportional to 1,547.34, 2,321.08 and 507.25

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Solution

The fourth proportional to 1,547.34, 2,321.08 and 507.25 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.34 : 2,321.08 = 507.25 : x
  2. Step 2: Convert to fraction form
    1,547.34/2,321.08 = 507.25/x
  3. Step 3: Cross multiply
    1,547.34x = 2,321.08 × 507.25
  4. Step 4: Simplify right side
    1,547.34x = 1,177,367.83
  5. Step 5: Solve for x
    x = 1,177,367.83/1,547.34
  6. Step 6: Final answer
    x = 760.90

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1.5x scale

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.