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Finding the Fourth Proportional to 1,158.25, 1,598.45 and 686.43

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Solution

The fourth proportional to 1,158.25, 1,598.45 and 686.43 is: 947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.25 : 1,598.45 = 686.43 : x
  2. Step 2: Convert to fraction form
    1,158.25/1,598.45 = 686.43/x
  3. Step 3: Cross multiply
    1,158.25x = 1,598.45 × 686.43
  4. Step 4: Simplify right side
    1,158.25x = 1,097,216.04
  5. Step 5: Solve for x
    x = 1,097,216.04/1,158.25
  6. Step 6: Final answer
    x = 947.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.