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Finding the Fourth Proportional to 1,148.80, 1,585.52 and 651.50

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Solution

The fourth proportional to 1,148.80, 1,585.52 and 651.50 is: 899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.80 : 1,585.52 = 651.50 : x
  2. Step 2: Convert to fraction form
    1,148.80/1,585.52 = 651.50/x
  3. Step 3: Cross multiply
    1,148.80x = 1,585.52 × 651.50
  4. Step 4: Simplify right side
    1,148.80x = 1,032,966.28
  5. Step 5: Solve for x
    x = 1,032,966.28/1,148.80
  6. Step 6: Final answer
    x = 899.17

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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.