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Finding the Fourth Proportional to 1,058.90, 1,590.19 and 693.50

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Solution

The fourth proportional to 1,058.90, 1,590.19 and 693.50 is: 1,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.90 : 1,590.19 = 693.50 : x
  2. Step 2: Convert to fraction form
    1,058.90/1,590.19 = 693.50/x
  3. Step 3: Cross multiply
    1,058.90x = 1,590.19 × 693.50
  4. Step 4: Simplify right side
    1,058.90x = 1,102,787.08
  5. Step 5: Solve for x
    x = 1,102,787.08/1,058.90
  6. Step 6: Final answer
    x = 1,041.45

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1.5x scale

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.