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Finding the Fourth Proportional to 1,155.60, 1,594.84 and 707.44

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Solution

The fourth proportional to 1,155.60, 1,594.84 and 707.44 is: 976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.60 : 1,594.84 = 707.44 : x
  2. Step 2: Convert to fraction form
    1,155.60/1,594.84 = 707.44/x
  3. Step 3: Cross multiply
    1,155.60x = 1,594.84 × 707.44
  4. Step 4: Simplify right side
    1,155.60x = 1,128,253.61
  5. Step 5: Solve for x
    x = 1,128,253.61/1,155.60
  6. Step 6: Final answer
    x = 976.34

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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.