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Finding the Fourth Proportional to 1,056.90, 1,458.62 and 614.95

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Solution

The fourth proportional to 1,056.90, 1,458.62 and 614.95 is: 848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.90 : 1,458.62 = 614.95 : x
  2. Step 2: Convert to fraction form
    1,056.90/1,458.62 = 614.95/x
  3. Step 3: Cross multiply
    1,056.90x = 1,458.62 × 614.95
  4. Step 4: Simplify right side
    1,056.90x = 896,973.95
  5. Step 5: Solve for x
    x = 896,973.95/1,056.90
  6. Step 6: Final answer
    x = 848.68

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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.