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Finding the Fourth Proportional to 870.52, 1,303.94 and 595.32

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Solution

The fourth proportional to 870.52, 1,303.94 and 595.32 is: 891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.52 : 1,303.94 = 595.32 : x
  2. Step 2: Convert to fraction form
    870.52/1,303.94 = 595.32/x
  3. Step 3: Cross multiply
    870.52x = 1,303.94 × 595.32
  4. Step 4: Simplify right side
    870.52x = 776,261.56
  5. Step 5: Solve for x
    x = 776,261.56/870.52
  6. Step 6: Final answer
    x = 891.72

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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.