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Finding the Fourth Proportional to 1,153.19, 1,590.95 and 648.93

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Solution

The fourth proportional to 1,153.19, 1,590.95 and 648.93 is: 895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.19 : 1,590.95 = 648.93 : x
  2. Step 2: Convert to fraction form
    1,153.19/1,590.95 = 648.93/x
  3. Step 3: Cross multiply
    1,153.19x = 1,590.95 × 648.93
  4. Step 4: Simplify right side
    1,153.19x = 1,032,415.18
  5. Step 5: Solve for x
    x = 1,032,415.18/1,153.19
  6. Step 6: Final answer
    x = 895.27

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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.