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Finding the Fourth Proportional to 1,547.40, 2,321.10 and 899.40

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Solution

The fourth proportional to 1,547.40, 2,321.10 and 899.40 is: 1,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.40 : 2,321.10 = 899.40 : x
  2. Step 2: Convert to fraction form
    1,547.40/2,321.10 = 899.40/x
  3. Step 3: Cross multiply
    1,547.40x = 2,321.10 × 899.40
  4. Step 4: Simplify right side
    1,547.40x = 2,087,597.34
  5. Step 5: Solve for x
    x = 2,087,597.34/1,547.40
  6. Step 6: Final answer
    x = 1,349.10

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Double scale
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Similar ratio
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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.