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Finding the Fourth Proportional to 876.92, 1,312.29 and 530.01

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Solution

The fourth proportional to 876.92, 1,312.29 and 530.01 is: 793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.92 : 1,312.29 = 530.01 : x
  2. Step 2: Convert to fraction form
    876.92/1,312.29 = 530.01/x
  3. Step 3: Cross multiply
    876.92x = 1,312.29 × 530.01
  4. Step 4: Simplify right side
    876.92x = 695,526.82
  5. Step 5: Solve for x
    x = 695,526.82/876.92
  6. Step 6: Final answer
    x = 793.15

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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.