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Finding the Fourth Proportional to 977.16, 1,458.87 and 899.88

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Solution

The fourth proportional to 977.16, 1,458.87 and 899.88 is: 1,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.16 : 1,458.87 = 899.88 : x
  2. Step 2: Convert to fraction form
    977.16/1,458.87 = 899.88/x
  3. Step 3: Cross multiply
    977.16x = 1,458.87 × 899.88
  4. Step 4: Simplify right side
    977.16x = 1,312,807.94
  5. Step 5: Solve for x
    x = 1,312,807.94/977.16
  6. Step 6: Final answer
    x = 1,343.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.