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Finding the Fourth Proportional to 977.30, 1,471.64 and 705.26

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Solution

The fourth proportional to 977.30, 1,471.64 and 705.26 is: 1,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.30 : 1,471.64 = 705.26 : x
  2. Step 2: Convert to fraction form
    977.30/1,471.64 = 705.26/x
  3. Step 3: Cross multiply
    977.30x = 1,471.64 × 705.26
  4. Step 4: Simplify right side
    977.30x = 1,037,888.83
  5. Step 5: Solve for x
    x = 1,037,888.83/977.30
  6. Step 6: Final answer
    x = 1,062.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.