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Finding the Fourth Proportional to 1,670.57, 2,505.01 and 977.46

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Solution

The fourth proportional to 1,670.57, 2,505.01 and 977.46 is: 1,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.57 : 2,505.01 = 977.46 : x
  2. Step 2: Convert to fraction form
    1,670.57/2,505.01 = 977.46/x
  3. Step 3: Cross multiply
    1,670.57x = 2,505.01 × 977.46
  4. Step 4: Simplify right side
    1,670.57x = 2,448,547.07
  5. Step 5: Solve for x
    x = 2,448,547.07/1,670.57
  6. Step 6: Final answer
    x = 1,465.70

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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.