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Finding the Fourth Proportional to 760.32, 1,135.40 and 596.16

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Solution

The fourth proportional to 760.32, 1,135.40 and 596.16 is: 890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,135.40 = 596.16 : x
  2. Step 2: Convert to fraction form
    760.32/1,135.40 = 596.16/x
  3. Step 3: Cross multiply
    760.32x = 1,135.40 × 596.16
  4. Step 4: Simplify right side
    760.32x = 676,880.06
  5. Step 5: Solve for x
    x = 676,880.06/760.32
  6. Step 6: Final answer
    x = 890.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.