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Finding the Fourth Proportional to 1,715.60, 2,574.63 and 742.40

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Solution

The fourth proportional to 1,715.60, 2,574.63 and 742.40 is: 1,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.60 : 2,574.63 = 742.40 : x
  2. Step 2: Convert to fraction form
    1,715.60/2,574.63 = 742.40/x
  3. Step 3: Cross multiply
    1,715.60x = 2,574.63 × 742.40
  4. Step 4: Simplify right side
    1,715.60x = 1,911,405.31
  5. Step 5: Solve for x
    x = 1,911,405.31/1,715.60
  6. Step 6: Final answer
    x = 1,114.13

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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.