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Finding the Fourth Proportional to 1,148.76, 1,585.28 and 651.50

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Solution

The fourth proportional to 1,148.76, 1,585.28 and 651.50 is: 899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.76 : 1,585.28 = 651.50 : x
  2. Step 2: Convert to fraction form
    1,148.76/1,585.28 = 651.50/x
  3. Step 3: Cross multiply
    1,148.76x = 1,585.28 × 651.50
  4. Step 4: Simplify right side
    1,148.76x = 1,032,809.92
  5. Step 5: Solve for x
    x = 1,032,809.92/1,148.76
  6. Step 6: Final answer
    x = 899.07

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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.